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Finding the Third Proportional to 337,032 and 733,578

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Solution

The third proportional to 337,032 and 733,578 is: 1,596,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,032 : 733,578 = 733,578 : x
  2. Step 2: Convert to fraction form
    337,032/733,578 = 733,578/x
  3. Step 3: Cross multiply
    337,032x = 733,578 × 733,578
  4. Step 4: Simplify right side
    337,032x = 538,136,682,084
  5. Step 5: Solve for x
    x = 538,136,682,084/337,032
  6. Step 6: Final answer
    x = 1,596,693.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.