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Finding the Third Proportional to 488.53 and 1,044.14

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Solution

The third proportional to 488.53 and 1,044.14 is: 2,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 1,044.14 = 1,044.14 : x
  2. Step 2: Convert to fraction form
    488.53/1,044.14 = 1,044.14/x
  3. Step 3: Cross multiply
    488.53x = 1,044.14 × 1,044.14
  4. Step 4: Simplify right side
    488.53x = 1,090,229.64
  5. Step 5: Solve for x
    x = 1,090,229.64/488.53
  6. Step 6: Final answer
    x = 2,231.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.