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Finding the Third Proportional to 337,206 and 722,508

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Solution

The third proportional to 337,206 and 722,508 is: 1,548,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,206 : 722,508 = 722,508 : x
  2. Step 2: Convert to fraction form
    337,206/722,508 = 722,508/x
  3. Step 3: Cross multiply
    337,206x = 722,508 × 722,508
  4. Step 4: Simplify right side
    337,206x = 522,017,810,064
  5. Step 5: Solve for x
    x = 522,017,810,064/337,206
  6. Step 6: Final answer
    x = 1,548,067.98

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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.