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Finding the Third Proportional to 215,660 and 465,016

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Solution

The third proportional to 215,660 and 465,016 is: 1,002,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,660 : 465,016 = 465,016 : x
  2. Step 2: Convert to fraction form
    215,660/465,016 = 465,016/x
  3. Step 3: Cross multiply
    215,660x = 465,016 × 465,016
  4. Step 4: Simplify right side
    215,660x = 216,239,880,256
  5. Step 5: Solve for x
    x = 216,239,880,256/215,660
  6. Step 6: Final answer
    x = 1,002,688.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.