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Finding the Third Proportional to 353,500,534 and 768,190,595

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Solution

The third proportional to 353,500,534 and 768,190,595 is: 1,669,351,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,500,534 : 768,190,595 = 768,190,595 : x
  2. Step 2: Convert to fraction form
    353,500,534/768,190,595 = 768,190,595/x
  3. Step 3: Cross multiply
    353,500,534x = 768,190,595 × 768,190,595
  4. Step 4: Simplify right side
    353,500,534x = 590,116,790,246,454,016
  5. Step 5: Solve for x
    x = 590,116,790,246,454,016/353,500,534
  6. Step 6: Final answer
    x = 1,669,351,906.12

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