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Finding the Third Proportional to 474 and 672.38

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Solution

The third proportional to 474 and 672.38 is: 953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 672.38 = 672.38 : x
  2. Step 2: Convert to fraction form
    474/672.38 = 672.38/x
  3. Step 3: Cross multiply
    474x = 672.38 × 672.38
  4. Step 4: Simplify right side
    474x = 452,088.14
  5. Step 5: Solve for x
    x = 452,088.14/474
  6. Step 6: Final answer
    x = 953.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.