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Finding the Third Proportional to 566.38 and 871.63

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Solution

The third proportional to 566.38 and 871.63 is: 1,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 871.63 = 871.63 : x
  2. Step 2: Convert to fraction form
    566.38/871.63 = 871.63/x
  3. Step 3: Cross multiply
    566.38x = 871.63 × 871.63
  4. Step 4: Simplify right side
    566.38x = 759,730.14
  5. Step 5: Solve for x
    x = 759,730.14/566.38
  6. Step 6: Final answer
    x = 1,341.39

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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.