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Finding the Third Proportional to 337,467 and 733,983

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Solution

The third proportional to 337,467 and 733,983 is: 1,596,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,467 : 733,983 = 733,983 : x
  2. Step 2: Convert to fraction form
    337,467/733,983 = 733,983/x
  3. Step 3: Cross multiply
    337,467x = 733,983 × 733,983
  4. Step 4: Simplify right side
    337,467x = 538,731,044,289
  5. Step 5: Solve for x
    x = 538,731,044,289/337,467
  6. Step 6: Final answer
    x = 1,596,396.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.