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Finding the Third Proportional to 426.52 and 679.01

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Solution

The third proportional to 426.52 and 679.01 is: 1,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 679.01 = 679.01 : x
  2. Step 2: Convert to fraction form
    426.52/679.01 = 679.01/x
  3. Step 3: Cross multiply
    426.52x = 679.01 × 679.01
  4. Step 4: Simplify right side
    426.52x = 461,051.61
  5. Step 5: Solve for x
    x = 461,051.61/426.52
  6. Step 6: Final answer
    x = 1,080.97

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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.