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Finding the Third Proportional to 247,016 and 532,138

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Solution

The third proportional to 247,016 and 532,138 is: 1,146,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,016 : 532,138 = 532,138 : x
  2. Step 2: Convert to fraction form
    247,016/532,138 = 532,138/x
  3. Step 3: Cross multiply
    247,016x = 532,138 × 532,138
  4. Step 4: Simplify right side
    247,016x = 283,170,851,044
  5. Step 5: Solve for x
    x = 283,170,851,044/247,016
  6. Step 6: Final answer
    x = 1,146,366.43

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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.