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Finding the Third Proportional to 491.38 and 1,158.31

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Solution

The third proportional to 491.38 and 1,158.31 is: 2,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.38 : 1,158.31 = 1,158.31 : x
  2. Step 2: Convert to fraction form
    491.38/1,158.31 = 1,158.31/x
  3. Step 3: Cross multiply
    491.38x = 1,158.31 × 1,158.31
  4. Step 4: Simplify right side
    491.38x = 1,341,687.85
  5. Step 5: Solve for x
    x = 1,341,687.85/491.38
  6. Step 6: Final answer
    x = 2,730.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.