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Finding the Third Proportional to 383,716 and 814,190

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Solution

The third proportional to 383,716 and 814,190 is: 1,727,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,716 : 814,190 = 814,190 : x
  2. Step 2: Convert to fraction form
    383,716/814,190 = 814,190/x
  3. Step 3: Cross multiply
    383,716x = 814,190 × 814,190
  4. Step 4: Simplify right side
    383,716x = 662,905,356,100
  5. Step 5: Solve for x
    x = 662,905,356,100/383,716
  6. Step 6: Final answer
    x = 1,727,593.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.