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Finding the Third Proportional to 723.88 and 1,027.56

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Solution

The third proportional to 723.88 and 1,027.56 is: 1,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 1,027.56 = 1,027.56 : x
  2. Step 2: Convert to fraction form
    723.88/1,027.56 = 1,027.56/x
  3. Step 3: Cross multiply
    723.88x = 1,027.56 × 1,027.56
  4. Step 4: Simplify right side
    723.88x = 1,055,884.69
  5. Step 5: Solve for x
    x = 1,055,884.69/723.88
  6. Step 6: Final answer
    x = 1,458.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.