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Finding the Third Proportional to 534.38 and 797.06

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Solution

The third proportional to 534.38 and 797.06 is: 1,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.38 : 797.06 = 797.06 : x
  2. Step 2: Convert to fraction form
    534.38/797.06 = 797.06/x
  3. Step 3: Cross multiply
    534.38x = 797.06 × 797.06
  4. Step 4: Simplify right side
    534.38x = 635,308.63
  5. Step 5: Solve for x
    x = 635,308.63/534.38
  6. Step 6: Final answer
    x = 1,188.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.