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Finding the Third Proportional to 219,711 and 472,542

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Solution

The third proportional to 219,711 and 472,542 is: 1,016,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,711 : 472,542 = 472,542 : x
  2. Step 2: Convert to fraction form
    219,711/472,542 = 472,542/x
  3. Step 3: Cross multiply
    219,711x = 472,542 × 472,542
  4. Step 4: Simplify right side
    219,711x = 223,295,941,764
  5. Step 5: Solve for x
    x = 223,295,941,764/219,711
  6. Step 6: Final answer
    x = 1,016,316.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.