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Finding the Third Proportional to 441,950 and 662,196

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Solution

The third proportional to 441,950 and 662,196 is: 992,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,950 : 662,196 = 662,196 : x
  2. Step 2: Convert to fraction form
    441,950/662,196 = 662,196/x
  3. Step 3: Cross multiply
    441,950x = 662,196 × 662,196
  4. Step 4: Simplify right side
    441,950x = 438,503,542,416
  5. Step 5: Solve for x
    x = 438,503,542,416/441,950
  6. Step 6: Final answer
    x = 992,201.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.