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Finding the Third Proportional to 252,937.69 and 550,491.19

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Solution

The third proportional to 252,937.69 and 550,491.19 is: 1,198,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,937.69 : 550,491.19 = 550,491.19 : x
  2. Step 2: Convert to fraction form
    252,937.69/550,491.19 = 550,491.19/x
  3. Step 3: Cross multiply
    252,937.69x = 550,491.19 × 550,491.19
  4. Step 4: Simplify right side
    252,937.69x = 303,040,547,515.16
  5. Step 5: Solve for x
    x = 303,040,547,515.16/252,937.69
  6. Step 6: Final answer
    x = 1,198,083.81

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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.