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Finding the Third Proportional to 216,966 and 471,252

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Solution

The third proportional to 216,966 and 471,252 is: 1,023,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,966 : 471,252 = 471,252 : x
  2. Step 2: Convert to fraction form
    216,966/471,252 = 471,252/x
  3. Step 3: Cross multiply
    216,966x = 471,252 × 471,252
  4. Step 4: Simplify right side
    216,966x = 222,078,447,504
  5. Step 5: Solve for x
    x = 222,078,447,504/216,966
  6. Step 6: Final answer
    x = 1,023,563.36

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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.