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Finding the Third Proportional to 432.56 and 687.66

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Solution

The third proportional to 432.56 and 687.66 is: 1,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 687.66 = 687.66 : x
  2. Step 2: Convert to fraction form
    432.56/687.66 = 687.66/x
  3. Step 3: Cross multiply
    432.56x = 687.66 × 687.66
  4. Step 4: Simplify right side
    432.56x = 472,871.12
  5. Step 5: Solve for x
    x = 472,871.12/432.56
  6. Step 6: Final answer
    x = 1,093.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.