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Finding the Third Proportional to 424.88 and 598.38

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Solution

The third proportional to 424.88 and 598.38 is: 842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.88 : 598.38 = 598.38 : x
  2. Step 2: Convert to fraction form
    424.88/598.38 = 598.38/x
  3. Step 3: Cross multiply
    424.88x = 598.38 × 598.38
  4. Step 4: Simplify right side
    424.88x = 358,052.64
  5. Step 5: Solve for x
    x = 358,052.64/424.88
  6. Step 6: Final answer
    x = 842.72

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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.