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Finding the Third Proportional to 244,952.25 and 499,745.63

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Solution

The third proportional to 244,952.25 and 499,745.63 is: 1,019,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,952.25 : 499,745.63 = 499,745.63 : x
  2. Step 2: Convert to fraction form
    244,952.25/499,745.63 = 499,745.63/x
  3. Step 3: Cross multiply
    244,952.25x = 499,745.63 × 499,745.63
  4. Step 4: Simplify right side
    244,952.25x = 249,745,689,706.64
  5. Step 5: Solve for x
    x = 249,745,689,706.64/244,952.25
  6. Step 6: Final answer
    x = 1,019,568.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.