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Finding the Third Proportional to 432.88 and 610.69

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Solution

The third proportional to 432.88 and 610.69 is: 861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.88 : 610.69 = 610.69 : x
  2. Step 2: Convert to fraction form
    432.88/610.69 = 610.69/x
  3. Step 3: Cross multiply
    432.88x = 610.69 × 610.69
  4. Step 4: Simplify right side
    432.88x = 372,939.22
  5. Step 5: Solve for x
    x = 372,939.22/432.88
  6. Step 6: Final answer
    x = 861.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.