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Finding the Third Proportional to 474.88 and 718.75

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Solution

The third proportional to 474.88 and 718.75 is: 1,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 718.75 = 718.75 : x
  2. Step 2: Convert to fraction form
    474.88/718.75 = 718.75/x
  3. Step 3: Cross multiply
    474.88x = 718.75 × 718.75
  4. Step 4: Simplify right side
    474.88x = 516,601.56
  5. Step 5: Solve for x
    x = 516,601.56/474.88
  6. Step 6: Final answer
    x = 1,087.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.