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Finding the Third Proportional to 247,250 and 533,920

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Solution

The third proportional to 247,250 and 533,920 is: 1,152,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,250 : 533,920 = 533,920 : x
  2. Step 2: Convert to fraction form
    247,250/533,920 = 533,920/x
  3. Step 3: Cross multiply
    247,250x = 533,920 × 533,920
  4. Step 4: Simplify right side
    247,250x = 285,070,566,400
  5. Step 5: Solve for x
    x = 285,070,566,400/247,250
  6. Step 6: Final answer
    x = 1,152,964.88

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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.