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Finding the Third Proportional to 247,872 and 534,384

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Solution

The third proportional to 247,872 and 534,384 is: 1,152,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,872 : 534,384 = 534,384 : x
  2. Step 2: Convert to fraction form
    247,872/534,384 = 534,384/x
  3. Step 3: Cross multiply
    247,872x = 534,384 × 534,384
  4. Step 4: Simplify right side
    247,872x = 285,566,259,456
  5. Step 5: Solve for x
    x = 285,566,259,456/247,872
  6. Step 6: Final answer
    x = 1,152,071.47

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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.