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Finding the Third Proportional to 215,662 and 465,020

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Solution

The third proportional to 215,662 and 465,020 is: 1,002,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,662 : 465,020 = 465,020 : x
  2. Step 2: Convert to fraction form
    215,662/465,020 = 465,020/x
  3. Step 3: Cross multiply
    215,662x = 465,020 × 465,020
  4. Step 4: Simplify right side
    215,662x = 216,243,600,400
  5. Step 5: Solve for x
    x = 216,243,600,400/215,662
  6. Step 6: Final answer
    x = 1,002,696.81

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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.