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Finding the Third Proportional to 351,836 and 768,190

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Solution

The third proportional to 351,836 and 768,190 is: 1,677,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,836 : 768,190 = 768,190 : x
  2. Step 2: Convert to fraction form
    351,836/768,190 = 768,190/x
  3. Step 3: Cross multiply
    351,836x = 768,190 × 768,190
  4. Step 4: Simplify right side
    351,836x = 590,115,876,100
  5. Step 5: Solve for x
    x = 590,115,876,100/351,836
  6. Step 6: Final answer
    x = 1,677,247.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.