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Finding the Third Proportional to 353,500,529.50 and 768,190,585.50

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Solution

The third proportional to 353,500,529.50 and 768,190,585.50 is: 1,669,351,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,500,529.50 : 768,190,585.50 = 768,190,585.50 : x
  2. Step 2: Convert to fraction form
    353,500,529.50/768,190,585.50 = 768,190,585.50/x
  3. Step 3: Cross multiply
    353,500,529.50x = 768,190,585.50 × 768,190,585.50
  4. Step 4: Simplify right side
    353,500,529.50x = 590,116,775,650,832,768
  5. Step 5: Solve for x
    x = 590,116,775,650,832,768/353,500,529.50
  6. Step 6: Final answer
    x = 1,669,351,886.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.