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Finding the Third Proportional to 337,897 and 731,562

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Solution

The third proportional to 337,897 and 731,562 is: 1,583,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,897 : 731,562 = 731,562 : x
  2. Step 2: Convert to fraction form
    337,897/731,562 = 731,562/x
  3. Step 3: Cross multiply
    337,897x = 731,562 × 731,562
  4. Step 4: Simplify right side
    337,897x = 535,182,959,844
  5. Step 5: Solve for x
    x = 535,182,959,844/337,897
  6. Step 6: Final answer
    x = 1,583,864.19

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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.