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Finding the Third Proportional to 372.22 and 589.92

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Solution

The third proportional to 372.22 and 589.92 is: 934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.22 : 589.92 = 589.92 : x
  2. Step 2: Convert to fraction form
    372.22/589.92 = 589.92/x
  3. Step 3: Cross multiply
    372.22x = 589.92 × 589.92
  4. Step 4: Simplify right side
    372.22x = 348,007.82
  5. Step 5: Solve for x
    x = 348,007.82/372.22
  6. Step 6: Final answer
    x = 934.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.