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Finding the Third Proportional to 337,466 and 733,982

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Solution

The third proportional to 337,466 and 733,982 is: 1,596,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,466 : 733,982 = 733,982 : x
  2. Step 2: Convert to fraction form
    337,466/733,982 = 733,982/x
  3. Step 3: Cross multiply
    337,466x = 733,982 × 733,982
  4. Step 4: Simplify right side
    337,466x = 538,729,576,324
  5. Step 5: Solve for x
    x = 538,729,576,324/337,466
  6. Step 6: Final answer
    x = 1,596,396.60

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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.