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Finding the Third Proportional to 585.56 and 861.05

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Solution

The third proportional to 585.56 and 861.05 is: 1,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 861.05 = 861.05 : x
  2. Step 2: Convert to fraction form
    585.56/861.05 = 861.05/x
  3. Step 3: Cross multiply
    585.56x = 861.05 × 861.05
  4. Step 4: Simplify right side
    585.56x = 741,401.72
  5. Step 5: Solve for x
    x = 741,401.72/585.56
  6. Step 6: Final answer
    x = 1,266.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.