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Finding the Third Proportional to 424.62 and 932.77

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Solution

The third proportional to 424.62 and 932.77 is: 2,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.62 : 932.77 = 932.77 : x
  2. Step 2: Convert to fraction form
    424.62/932.77 = 932.77/x
  3. Step 3: Cross multiply
    424.62x = 932.77 × 932.77
  4. Step 4: Simplify right side
    424.62x = 870,051.71
  5. Step 5: Solve for x
    x = 870,051.71/424.62
  6. Step 6: Final answer
    x = 2,049.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.