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Finding the Third Proportional to 282,684 and 614,439

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Solution

The third proportional to 282,684 and 614,439 is: 1,335,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,684 : 614,439 = 614,439 : x
  2. Step 2: Convert to fraction form
    282,684/614,439 = 614,439/x
  3. Step 3: Cross multiply
    282,684x = 614,439 × 614,439
  4. Step 4: Simplify right side
    282,684x = 377,535,284,721
  5. Step 5: Solve for x
    x = 377,535,284,721/282,684
  6. Step 6: Final answer
    x = 1,335,538.21

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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.