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Finding the Third Proportional to 337,311 and 722,439

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Solution

The third proportional to 337,311 and 722,439 is: 1,547,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,311 : 722,439 = 722,439 : x
  2. Step 2: Convert to fraction form
    337,311/722,439 = 722,439/x
  3. Step 3: Cross multiply
    337,311x = 722,439 × 722,439
  4. Step 4: Simplify right side
    337,311x = 521,918,108,721
  5. Step 5: Solve for x
    x = 521,918,108,721/337,311
  6. Step 6: Final answer
    x = 1,547,290.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.