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Finding the Third Proportional to 496.13 and 725.20

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Solution

The third proportional to 496.13 and 725.20 is: 1,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 725.20 = 725.20 : x
  2. Step 2: Convert to fraction form
    496.13/725.20 = 725.20/x
  3. Step 3: Cross multiply
    496.13x = 725.20 × 725.20
  4. Step 4: Simplify right side
    496.13x = 525,919.57
  5. Step 5: Solve for x
    x = 525,919.57/496.13
  6. Step 6: Final answer
    x = 1,060.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.