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Finding the Third Proportional to 247,014 and 532,134

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Solution

The third proportional to 247,014 and 532,134 is: 1,146,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,014 : 532,134 = 532,134 : x
  2. Step 2: Convert to fraction form
    247,014/532,134 = 532,134/x
  3. Step 3: Cross multiply
    247,014x = 532,134 × 532,134
  4. Step 4: Simplify right side
    247,014x = 283,166,593,956
  5. Step 5: Solve for x
    x = 283,166,593,956/247,014
  6. Step 6: Final answer
    x = 1,146,358.48

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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.