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Finding the Third Proportional to 216,885 and 469,962

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Solution

The third proportional to 216,885 and 469,962 is: 1,018,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,885 : 469,962 = 469,962 : x
  2. Step 2: Convert to fraction form
    216,885/469,962 = 469,962/x
  3. Step 3: Cross multiply
    216,885x = 469,962 × 469,962
  4. Step 4: Simplify right side
    216,885x = 220,864,281,444
  5. Step 5: Solve for x
    x = 220,864,281,444/216,885
  6. Step 6: Final answer
    x = 1,018,347.43

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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.