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Finding the Third Proportional to 534.09 and 718.56

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Solution

The third proportional to 534.09 and 718.56 is: 966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 718.56 = 718.56 : x
  2. Step 2: Convert to fraction form
    534.09/718.56 = 718.56/x
  3. Step 3: Cross multiply
    534.09x = 718.56 × 718.56
  4. Step 4: Simplify right side
    534.09x = 516,326.45
  5. Step 5: Solve for x
    x = 516,326.45/534.09
  6. Step 6: Final answer
    x = 966.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.