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Finding the Third Proportional to 215,175 and 472,812

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Solution

The third proportional to 215,175 and 472,812 is: 1,038,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,175 : 472,812 = 472,812 : x
  2. Step 2: Convert to fraction form
    215,175/472,812 = 472,812/x
  3. Step 3: Cross multiply
    215,175x = 472,812 × 472,812
  4. Step 4: Simplify right side
    215,175x = 223,551,187,344
  5. Step 5: Solve for x
    x = 223,551,187,344/215,175
  6. Step 6: Final answer
    x = 1,038,927.33

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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.