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Finding the Third Proportional to 581.06 and 892.97

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Solution

The third proportional to 581.06 and 892.97 is: 1,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 892.97 = 892.97 : x
  2. Step 2: Convert to fraction form
    581.06/892.97 = 892.97/x
  3. Step 3: Cross multiply
    581.06x = 892.97 × 892.97
  4. Step 4: Simplify right side
    581.06x = 797,393.19
  5. Step 5: Solve for x
    x = 797,393.19/581.06
  6. Step 6: Final answer
    x = 1,372.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.