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Finding the Third Proportional to 488.53 and 1,130.20

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Solution

The third proportional to 488.53 and 1,130.20 is: 2,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 1,130.20 = 1,130.20 : x
  2. Step 2: Convert to fraction form
    488.53/1,130.20 = 1,130.20/x
  3. Step 3: Cross multiply
    488.53x = 1,130.20 × 1,130.20
  4. Step 4: Simplify right side
    488.53x = 1,277,359.10
  5. Step 5: Solve for x
    x = 1,277,359.10/488.53
  6. Step 6: Final answer
    x = 2,614.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.