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Finding the Third Proportional to 250,711 and 536,413

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Solution

The third proportional to 250,711 and 536,413 is: 1,147,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,711 : 536,413 = 536,413 : x
  2. Step 2: Convert to fraction form
    250,711/536,413 = 536,413/x
  3. Step 3: Cross multiply
    250,711x = 536,413 × 536,413
  4. Step 4: Simplify right side
    250,711x = 287,738,906,569
  5. Step 5: Solve for x
    x = 287,738,906,569/250,711
  6. Step 6: Final answer
    x = 1,147,691.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.