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Finding the Third Proportional to 462.94 and 1,006.88

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Solution

The third proportional to 462.94 and 1,006.88 is: 2,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 1,006.88 = 1,006.88 : x
  2. Step 2: Convert to fraction form
    462.94/1,006.88 = 1,006.88/x
  3. Step 3: Cross multiply
    462.94x = 1,006.88 × 1,006.88
  4. Step 4: Simplify right side
    462.94x = 1,013,797.27
  5. Step 5: Solve for x
    x = 1,013,797.27/462.94
  6. Step 6: Final answer
    x = 2,189.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.