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Finding the Third Proportional to 513 and 700.88

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Solution

The third proportional to 513 and 700.88 is: 957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 700.88 = 700.88 : x
  2. Step 2: Convert to fraction form
    513/700.88 = 700.88/x
  3. Step 3: Cross multiply
    513x = 700.88 × 700.88
  4. Step 4: Simplify right side
    513x = 491,225.77
  5. Step 5: Solve for x
    x = 491,225.77/513
  6. Step 6: Final answer
    x = 957.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.