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Finding the Third Proportional to 207,939 and 449,078

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Solution

The third proportional to 207,939 and 449,078 is: 969,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,939 : 449,078 = 449,078 : x
  2. Step 2: Convert to fraction form
    207,939/449,078 = 449,078/x
  3. Step 3: Cross multiply
    207,939x = 449,078 × 449,078
  4. Step 4: Simplify right side
    207,939x = 201,671,050,084
  5. Step 5: Solve for x
    x = 201,671,050,084/207,939
  6. Step 6: Final answer
    x = 969,856.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.