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Finding the Third Proportional to 480.88 and 1,046.13

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Solution

The third proportional to 480.88 and 1,046.13 is: 2,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.88 : 1,046.13 = 1,046.13 : x
  2. Step 2: Convert to fraction form
    480.88/1,046.13 = 1,046.13/x
  3. Step 3: Cross multiply
    480.88x = 1,046.13 × 1,046.13
  4. Step 4: Simplify right side
    480.88x = 1,094,377.52
  5. Step 5: Solve for x
    x = 1,094,377.52/480.88
  6. Step 6: Final answer
    x = 2,275.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.