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Finding the Third Proportional to 498.94 and 717.47

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Solution

The third proportional to 498.94 and 717.47 is: 1,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 717.47 = 717.47 : x
  2. Step 2: Convert to fraction form
    498.94/717.47 = 717.47/x
  3. Step 3: Cross multiply
    498.94x = 717.47 × 717.47
  4. Step 4: Simplify right side
    498.94x = 514,761.41
  5. Step 5: Solve for x
    x = 514,761.41/498.94
  6. Step 6: Final answer
    x = 1,031.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.