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Finding the Third Proportional to 337,034.25 and 733,578.19

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Solution

The third proportional to 337,034.25 and 733,578.19 is: 1,596,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,034.25 : 733,578.19 = 733,578.19 : x
  2. Step 2: Convert to fraction form
    337,034.25/733,578.19 = 733,578.19/x
  3. Step 3: Cross multiply
    337,034.25x = 733,578.19 × 733,578.19
  4. Step 4: Simplify right side
    337,034.25x = 538,136,957,175.79
  5. Step 5: Solve for x
    x = 538,136,957,175.79/337,034.25
  6. Step 6: Final answer
    x = 1,596,683.30

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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.