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Finding the Third Proportional to 574.87 and 885.27

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Solution

The third proportional to 574.87 and 885.27 is: 1,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.87 : 885.27 = 885.27 : x
  2. Step 2: Convert to fraction form
    574.87/885.27 = 885.27/x
  3. Step 3: Cross multiply
    574.87x = 885.27 × 885.27
  4. Step 4: Simplify right side
    574.87x = 783,694.36
  5. Step 5: Solve for x
    x = 783,694.36/574.87
  6. Step 6: Final answer
    x = 1,363.25

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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.