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Finding the Third Proportional to 247,350 and 534,228

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Solution

The third proportional to 247,350 and 534,228 is: 1,153,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,350 : 534,228 = 534,228 : x
  2. Step 2: Convert to fraction form
    247,350/534,228 = 534,228/x
  3. Step 3: Cross multiply
    247,350x = 534,228 × 534,228
  4. Step 4: Simplify right side
    247,350x = 285,399,555,984
  5. Step 5: Solve for x
    x = 285,399,555,984/247,350
  6. Step 6: Final answer
    x = 1,153,828.81

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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.