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Finding the Third Proportional to 951,256.50 and 1,472,299.50

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Solution

The third proportional to 951,256.50 and 1,472,299.50 is: 2,278,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,256.50 : 1,472,299.50 = 1,472,299.50 : x
  2. Step 2: Convert to fraction form
    951,256.50/1,472,299.50 = 1,472,299.50/x
  3. Step 3: Cross multiply
    951,256.50x = 1,472,299.50 × 1,472,299.50
  4. Step 4: Simplify right side
    951,256.50x = 2,167,665,817,700.25
  5. Step 5: Solve for x
    x = 2,167,665,817,700.25/951,256.50
  6. Step 6: Final answer
    x = 2,278,739.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.