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Finding the Third Proportional to 376,579.38 and 829,551.88

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Solution

The third proportional to 376,579.38 and 829,551.88 is: 1,827,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,579.38 : 829,551.88 = 829,551.88 : x
  2. Step 2: Convert to fraction form
    376,579.38/829,551.88 = 829,551.88/x
  3. Step 3: Cross multiply
    376,579.38x = 829,551.88 × 829,551.88
  4. Step 4: Simplify right side
    376,579.38x = 688,156,313,316.02
  5. Step 5: Solve for x
    x = 688,156,313,316.02/376,579.38
  6. Step 6: Final answer
    x = 1,827,387.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.