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Finding the Third Proportional to 275.25 and 598.13

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Solution

The third proportional to 275.25 and 598.13 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.25 : 598.13 = 598.13 : x
  2. Step 2: Convert to fraction form
    275.25/598.13 = 598.13/x
  3. Step 3: Cross multiply
    275.25x = 598.13 × 598.13
  4. Step 4: Simplify right side
    275.25x = 357,753.52
  5. Step 5: Solve for x
    x = 357,753.52/275.25
  6. Step 6: Final answer
    x = 1,299.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.