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Finding the Third Proportional to 337,216 and 722,267

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Solution

The third proportional to 337,216 and 722,267 is: 1,546,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,216 : 722,267 = 722,267 : x
  2. Step 2: Convert to fraction form
    337,216/722,267 = 722,267/x
  3. Step 3: Cross multiply
    337,216x = 722,267 × 722,267
  4. Step 4: Simplify right side
    337,216x = 521,669,619,289
  5. Step 5: Solve for x
    x = 521,669,619,289/337,216
  6. Step 6: Final answer
    x = 1,546,989.52

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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.