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Finding the Third Proportional to 247,432 and 529,856

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Solution

The third proportional to 247,432 and 529,856 is: 1,134,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,432 : 529,856 = 529,856 : x
  2. Step 2: Convert to fraction form
    247,432/529,856 = 529,856/x
  3. Step 3: Cross multiply
    247,432x = 529,856 × 529,856
  4. Step 4: Simplify right side
    247,432x = 280,747,380,736
  5. Step 5: Solve for x
    x = 280,747,380,736/247,432
  6. Step 6: Final answer
    x = 1,134,644.59

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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.