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Finding the Third Proportional to 432.84 and 710.86

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Solution

The third proportional to 432.84 and 710.86 is: 1,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 710.86 = 710.86 : x
  2. Step 2: Convert to fraction form
    432.84/710.86 = 710.86/x
  3. Step 3: Cross multiply
    432.84x = 710.86 × 710.86
  4. Step 4: Simplify right side
    432.84x = 505,321.05
  5. Step 5: Solve for x
    x = 505,321.05/432.84
  6. Step 6: Final answer
    x = 1,167.44

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.