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Finding the Third Proportional to 216,954 and 471,225

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Solution

The third proportional to 216,954 and 471,225 is: 1,023,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,954 : 471,225 = 471,225 : x
  2. Step 2: Convert to fraction form
    216,954/471,225 = 471,225/x
  3. Step 3: Cross multiply
    216,954x = 471,225 × 471,225
  4. Step 4: Simplify right side
    216,954x = 222,053,000,625
  5. Step 5: Solve for x
    x = 222,053,000,625/216,954
  6. Step 6: Final answer
    x = 1,023,502.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.