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Finding the Third Proportional to 337,204 and 722,233

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Solution

The third proportional to 337,204 and 722,233 is: 1,546,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,204 : 722,233 = 722,233 : x
  2. Step 2: Convert to fraction form
    337,204/722,233 = 722,233/x
  3. Step 3: Cross multiply
    337,204x = 722,233 × 722,233
  4. Step 4: Simplify right side
    337,204x = 521,620,506,289
  5. Step 5: Solve for x
    x = 521,620,506,289/337,204
  6. Step 6: Final answer
    x = 1,546,898.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.