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Finding the Third Proportional to 282,691.50 and 614,463

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Solution

The third proportional to 282,691.50 and 614,463 is: 1,335,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,691.50 : 614,463 = 614,463 : x
  2. Step 2: Convert to fraction form
    282,691.50/614,463 = 614,463/x
  3. Step 3: Cross multiply
    282,691.50x = 614,463 × 614,463
  4. Step 4: Simplify right side
    282,691.50x = 377,564,778,369
  5. Step 5: Solve for x
    x = 377,564,778,369/282,691.50
  6. Step 6: Final answer
    x = 1,335,607.11

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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.