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Finding the Third Proportional to 376,446 and 827,526

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Solution

The third proportional to 376,446 and 827,526 is: 1,819,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,446 : 827,526 = 827,526 : x
  2. Step 2: Convert to fraction form
    376,446/827,526 = 827,526/x
  3. Step 3: Cross multiply
    376,446x = 827,526 × 827,526
  4. Step 4: Simplify right side
    376,446x = 684,799,280,676
  5. Step 5: Solve for x
    x = 684,799,280,676/376,446
  6. Step 6: Final answer
    x = 1,819,116.90

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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.