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Finding the Third Proportional to 513.13 and 760.69

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Solution

The third proportional to 513.13 and 760.69 is: 1,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 760.69 = 760.69 : x
  2. Step 2: Convert to fraction form
    513.13/760.69 = 760.69/x
  3. Step 3: Cross multiply
    513.13x = 760.69 × 760.69
  4. Step 4: Simplify right side
    513.13x = 578,645.47
  5. Step 5: Solve for x
    x = 578,645.47/513.13
  6. Step 6: Final answer
    x = 1,127.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.