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Finding the Third Proportional to 280,387 and 616,847

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Solution

The third proportional to 280,387 and 616,847 is: 1,357,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,387 : 616,847 = 616,847 : x
  2. Step 2: Convert to fraction form
    280,387/616,847 = 616,847/x
  3. Step 3: Cross multiply
    280,387x = 616,847 × 616,847
  4. Step 4: Simplify right side
    280,387x = 380,500,221,409
  5. Step 5: Solve for x
    x = 380,500,221,409/280,387
  6. Step 6: Final answer
    x = 1,357,053.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.