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Finding the Third Proportional to 482,550.75 and 952,990.88

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Solution

The third proportional to 482,550.75 and 952,990.88 is: 1,882,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,550.75 : 952,990.88 = 952,990.88 : x
  2. Step 2: Convert to fraction form
    482,550.75/952,990.88 = 952,990.88/x
  3. Step 3: Cross multiply
    482,550.75x = 952,990.88 × 952,990.88
  4. Step 4: Simplify right side
    482,550.75x = 908,191,607,833.27
  5. Step 5: Solve for x
    x = 908,191,607,833.27/482,550.75
  6. Step 6: Final answer
    x = 1,882,064.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.