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Finding the Third Proportional to 337,317 and 722,451

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Solution

The third proportional to 337,317 and 722,451 is: 1,547,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,317 : 722,451 = 722,451 : x
  2. Step 2: Convert to fraction form
    337,317/722,451 = 722,451/x
  3. Step 3: Cross multiply
    337,317x = 722,451 × 722,451
  4. Step 4: Simplify right side
    337,317x = 521,935,447,401
  5. Step 5: Solve for x
    x = 521,935,447,401/337,317
  6. Step 6: Final answer
    x = 1,547,314.39

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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.