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Finding the Third Proportional to 513.98 and 795.02

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Solution

The third proportional to 513.98 and 795.02 is: 1,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 795.02 = 795.02 : x
  2. Step 2: Convert to fraction form
    513.98/795.02 = 795.02/x
  3. Step 3: Cross multiply
    513.98x = 795.02 × 795.02
  4. Step 4: Simplify right side
    513.98x = 632,062.27
  5. Step 5: Solve for x
    x = 632,062.27/513.98
  6. Step 6: Final answer
    x = 1,229.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.