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Finding the Third Proportional to 383,250 and 791,100

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Solution

The third proportional to 383,250 and 791,100 is: 1,632,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,250 : 791,100 = 791,100 : x
  2. Step 2: Convert to fraction form
    383,250/791,100 = 791,100/x
  3. Step 3: Cross multiply
    383,250x = 791,100 × 791,100
  4. Step 4: Simplify right side
    383,250x = 625,839,210,000
  5. Step 5: Solve for x
    x = 625,839,210,000/383,250
  6. Step 6: Final answer
    x = 1,632,979.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.