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Finding the Third Proportional to 221,918 and 485,353

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Solution

The third proportional to 221,918 and 485,353 is: 1,061,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,918 : 485,353 = 485,353 : x
  2. Step 2: Convert to fraction form
    221,918/485,353 = 485,353/x
  3. Step 3: Cross multiply
    221,918x = 485,353 × 485,353
  4. Step 4: Simplify right side
    221,918x = 235,567,534,609
  5. Step 5: Solve for x
    x = 235,567,534,609/221,918
  6. Step 6: Final answer
    x = 1,061,507.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.