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Finding the Third Proportional to 381,938.63 and 829,591.88

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Solution

The third proportional to 381,938.63 and 829,591.88 is: 1,801,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,938.63 : 829,591.88 = 829,591.88 : x
  2. Step 2: Convert to fraction form
    381,938.63/829,591.88 = 829,591.88/x
  3. Step 3: Cross multiply
    381,938.63x = 829,591.88 × 829,591.88
  4. Step 4: Simplify right side
    381,938.63x = 688,222,679,066.02
  5. Step 5: Solve for x
    x = 688,222,679,066.02/381,938.63
  6. Step 6: Final answer
    x = 1,801,919.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.