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Finding the Third Proportional to 383,218 and 791,035

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Solution

The third proportional to 383,218 and 791,035 is: 1,632,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,218 : 791,035 = 791,035 : x
  2. Step 2: Convert to fraction form
    383,218/791,035 = 791,035/x
  3. Step 3: Cross multiply
    383,218x = 791,035 × 791,035
  4. Step 4: Simplify right side
    383,218x = 625,736,371,225
  5. Step 5: Solve for x
    x = 625,736,371,225/383,218
  6. Step 6: Final answer
    x = 1,632,847.02

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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.