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Finding the Third Proportional to 337,639.50 and 738,018

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Solution

The third proportional to 337,639.50 and 738,018 is: 1,613,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,639.50 : 738,018 = 738,018 : x
  2. Step 2: Convert to fraction form
    337,639.50/738,018 = 738,018/x
  3. Step 3: Cross multiply
    337,639.50x = 738,018 × 738,018
  4. Step 4: Simplify right side
    337,639.50x = 544,670,568,324
  5. Step 5: Solve for x
    x = 544,670,568,324/337,639.50
  6. Step 6: Final answer
    x = 1,613,171.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.