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Finding the Third Proportional to 502,938 and 683,451

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Solution

The third proportional to 502,938 and 683,451 is: 928,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,938 : 683,451 = 683,451 : x
  2. Step 2: Convert to fraction form
    502,938/683,451 = 683,451/x
  3. Step 3: Cross multiply
    502,938x = 683,451 × 683,451
  4. Step 4: Simplify right side
    502,938x = 467,105,269,401
  5. Step 5: Solve for x
    x = 467,105,269,401/502,938
  6. Step 6: Final answer
    x = 928,753.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.