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Finding the Third Proportional to 546.43 and 869.01

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Solution

The third proportional to 546.43 and 869.01 is: 1,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.43 : 869.01 = 869.01 : x
  2. Step 2: Convert to fraction form
    546.43/869.01 = 869.01/x
  3. Step 3: Cross multiply
    546.43x = 869.01 × 869.01
  4. Step 4: Simplify right side
    546.43x = 755,177.97
  5. Step 5: Solve for x
    x = 755,177.97/546.43
  6. Step 6: Final answer
    x = 1,382.01

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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.