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Finding the Third Proportional to 381,808 and 794,633

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Solution

The third proportional to 381,808 and 794,633 is: 1,653,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,808 : 794,633 = 794,633 : x
  2. Step 2: Convert to fraction form
    381,808/794,633 = 794,633/x
  3. Step 3: Cross multiply
    381,808x = 794,633 × 794,633
  4. Step 4: Simplify right side
    381,808x = 631,441,604,689
  5. Step 5: Solve for x
    x = 631,441,604,689/381,808
  6. Step 6: Final answer
    x = 1,653,819.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.