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Finding the Third Proportional to 344,431 and 748,627

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Solution

The third proportional to 344,431 and 748,627 is: 1,627,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,431 : 748,627 = 748,627 : x
  2. Step 2: Convert to fraction form
    344,431/748,627 = 748,627/x
  3. Step 3: Cross multiply
    344,431x = 748,627 × 748,627
  4. Step 4: Simplify right side
    344,431x = 560,442,385,129
  5. Step 5: Solve for x
    x = 560,442,385,129/344,431
  6. Step 6: Final answer
    x = 1,627,154.31

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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.