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Finding the Third Proportional to 459.66 and 1,006.22

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Solution

The third proportional to 459.66 and 1,006.22 is: 2,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 1,006.22 = 1,006.22 : x
  2. Step 2: Convert to fraction form
    459.66/1,006.22 = 1,006.22/x
  3. Step 3: Cross multiply
    459.66x = 1,006.22 × 1,006.22
  4. Step 4: Simplify right side
    459.66x = 1,012,476.17
  5. Step 5: Solve for x
    x = 1,012,476.17/459.66
  6. Step 6: Final answer
    x = 2,202.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.