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Finding the Third Proportional to 458.47 and 1,006.65

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Solution

The third proportional to 458.47 and 1,006.65 is: 2,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.47 : 1,006.65 = 1,006.65 : x
  2. Step 2: Convert to fraction form
    458.47/1,006.65 = 1,006.65/x
  3. Step 3: Cross multiply
    458.47x = 1,006.65 × 1,006.65
  4. Step 4: Simplify right side
    458.47x = 1,013,337.14
  5. Step 5: Solve for x
    x = 1,013,337.14/458.47
  6. Step 6: Final answer
    x = 2,210.25

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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.