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Finding the Third Proportional to 282,769 and 614,624

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Solution

The third proportional to 282,769 and 614,624 is: 1,335,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,769 : 614,624 = 614,624 : x
  2. Step 2: Convert to fraction form
    282,769/614,624 = 614,624/x
  3. Step 3: Cross multiply
    282,769x = 614,624 × 614,624
  4. Step 4: Simplify right side
    282,769x = 377,762,661,376
  5. Step 5: Solve for x
    x = 377,762,661,376/282,769
  6. Step 6: Final answer
    x = 1,335,940.86

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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.