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Finding the Third Proportional to 247,038 and 532,452

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Solution

The third proportional to 247,038 and 532,452 is: 1,147,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,038 : 532,452 = 532,452 : x
  2. Step 2: Convert to fraction form
    247,038/532,452 = 532,452/x
  3. Step 3: Cross multiply
    247,038x = 532,452 × 532,452
  4. Step 4: Simplify right side
    247,038x = 283,505,132,304
  5. Step 5: Solve for x
    x = 283,505,132,304/247,038
  6. Step 6: Final answer
    x = 1,147,617.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.