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Finding the Third Proportional to 424.72 and 598.11

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Solution

The third proportional to 424.72 and 598.11 is: 842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.72 : 598.11 = 598.11 : x
  2. Step 2: Convert to fraction form
    424.72/598.11 = 598.11/x
  3. Step 3: Cross multiply
    424.72x = 598.11 × 598.11
  4. Step 4: Simplify right side
    424.72x = 357,739.50
  5. Step 5: Solve for x
    x = 357,739.50/424.72
  6. Step 6: Final answer
    x = 842.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.