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Finding the Third Proportional to 383,112 and 818,352

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Solution

The third proportional to 383,112 and 818,352 is: 1,748,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,112 : 818,352 = 818,352 : x
  2. Step 2: Convert to fraction form
    383,112/818,352 = 818,352/x
  3. Step 3: Cross multiply
    383,112x = 818,352 × 818,352
  4. Step 4: Simplify right side
    383,112x = 669,699,995,904
  5. Step 5: Solve for x
    x = 669,699,995,904/383,112
  6. Step 6: Final answer
    x = 1,748,052.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.