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Finding the Third Proportional to 376,903 and 820,251.50

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Solution

The third proportional to 376,903 and 820,251.50 is: 1,785,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,903 : 820,251.50 = 820,251.50 : x
  2. Step 2: Convert to fraction form
    376,903/820,251.50 = 820,251.50/x
  3. Step 3: Cross multiply
    376,903x = 820,251.50 × 820,251.50
  4. Step 4: Simplify right side
    376,903x = 672,812,523,252.25
  5. Step 5: Solve for x
    x = 672,812,523,252.25/376,903
  6. Step 6: Final answer
    x = 1,785,107.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.