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Finding the Third Proportional to 513 and 757

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Solution

The third proportional to 513 and 757 is: 1,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 757 = 757 : x
  2. Step 2: Convert to fraction form
    513/757 = 757/x
  3. Step 3: Cross multiply
    513x = 757 × 757
  4. Step 4: Simplify right side
    513x = 573,049
  5. Step 5: Solve for x
    x = 573,049/513
  6. Step 6: Final answer
    x = 1,117.05

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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.