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Finding the Third Proportional to 827,248.50 and 1,327,254.75

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Solution

The third proportional to 827,248.50 and 1,327,254.75 is: 2,129,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,248.50 : 1,327,254.75 = 1,327,254.75 : x
  2. Step 2: Convert to fraction form
    827,248.50/1,327,254.75 = 1,327,254.75/x
  3. Step 3: Cross multiply
    827,248.50x = 1,327,254.75 × 1,327,254.75
  4. Step 4: Simplify right side
    827,248.50x = 1,761,605,171,397.56
  5. Step 5: Solve for x
    x = 1,761,605,171,397.56/827,248.50
  6. Step 6: Final answer
    x = 2,129,475.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.