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Finding the Third Proportional to 263,047.50 and 636,022.13

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Solution

The third proportional to 263,047.50 and 636,022.13 is: 1,537,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,047.50 : 636,022.13 = 636,022.13 : x
  2. Step 2: Convert to fraction form
    263,047.50/636,022.13 = 636,022.13/x
  3. Step 3: Cross multiply
    263,047.50x = 636,022.13 × 636,022.13
  4. Step 4: Simplify right side
    263,047.50x = 404,524,143,489.52
  5. Step 5: Solve for x
    x = 404,524,143,489.52/263,047.50
  6. Step 6: Final answer
    x = 1,537,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.