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Finding the Third Proportional to 460.27 and 866.11

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Solution

The third proportional to 460.27 and 866.11 is: 1,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.27 : 866.11 = 866.11 : x
  2. Step 2: Convert to fraction form
    460.27/866.11 = 866.11/x
  3. Step 3: Cross multiply
    460.27x = 866.11 × 866.11
  4. Step 4: Simplify right side
    460.27x = 750,145.45
  5. Step 5: Solve for x
    x = 750,145.45/460.27
  6. Step 6: Final answer
    x = 1,629.81

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.