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Finding the Third Proportional to 542.16 and 829.69

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Solution

The third proportional to 542.16 and 829.69 is: 1,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 829.69 = 829.69 : x
  2. Step 2: Convert to fraction form
    542.16/829.69 = 829.69/x
  3. Step 3: Cross multiply
    542.16x = 829.69 × 829.69
  4. Step 4: Simplify right side
    542.16x = 688,381.35
  5. Step 5: Solve for x
    x = 688,381.35/542.16
  6. Step 6: Final answer
    x = 1,269.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.