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Finding the Third Proportional to 323,716.50 and 506,334.38

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Solution

The third proportional to 323,716.50 and 506,334.38 is: 791,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716.50 : 506,334.38 = 506,334.38 : x
  2. Step 2: Convert to fraction form
    323,716.50/506,334.38 = 506,334.38/x
  3. Step 3: Cross multiply
    323,716.50x = 506,334.38 × 506,334.38
  4. Step 4: Simplify right side
    323,716.50x = 256,374,499,306.64
  5. Step 5: Solve for x
    x = 256,374,499,306.64/323,716.50
  6. Step 6: Final answer
    x = 791,972.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.