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Finding the Third Proportional to 280,006 and 614,448

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Solution

The third proportional to 280,006 and 614,448 is: 1,348,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,006 : 614,448 = 614,448 : x
  2. Step 2: Convert to fraction form
    280,006/614,448 = 614,448/x
  3. Step 3: Cross multiply
    280,006x = 614,448 × 614,448
  4. Step 4: Simplify right side
    280,006x = 377,546,344,704
  5. Step 5: Solve for x
    x = 377,546,344,704/280,006
  6. Step 6: Final answer
    x = 1,348,350.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.