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Finding the Third Proportional to 337,206 and 722,243

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Solution

The third proportional to 337,206 and 722,243 is: 1,546,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,206 : 722,243 = 722,243 : x
  2. Step 2: Convert to fraction form
    337,206/722,243 = 722,243/x
  3. Step 3: Cross multiply
    337,206x = 722,243 × 722,243
  4. Step 4: Simplify right side
    337,206x = 521,634,951,049
  5. Step 5: Solve for x
    x = 521,634,951,049/337,206
  6. Step 6: Final answer
    x = 1,546,932.59

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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.