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Finding the Third Proportional to 247,414 and 539,756

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Solution

The third proportional to 247,414 and 539,756 is: 1,177,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,414 : 539,756 = 539,756 : x
  2. Step 2: Convert to fraction form
    247,414/539,756 = 539,756/x
  3. Step 3: Cross multiply
    247,414x = 539,756 × 539,756
  4. Step 4: Simplify right side
    247,414x = 291,336,539,536
  5. Step 5: Solve for x
    x = 291,336,539,536/247,414
  6. Step 6: Final answer
    x = 1,177,526.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.