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Finding the Third Proportional to 282,767 and 614,620

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Solution

The third proportional to 282,767 and 614,620 is: 1,335,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,767 : 614,620 = 614,620 : x
  2. Step 2: Convert to fraction form
    282,767/614,620 = 614,620/x
  3. Step 3: Cross multiply
    282,767x = 614,620 × 614,620
  4. Step 4: Simplify right side
    282,767x = 377,757,744,400
  5. Step 5: Solve for x
    x = 377,757,744,400/282,767
  6. Step 6: Final answer
    x = 1,335,932.92

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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.