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Finding the Third Proportional to 376,650 and 827,658

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Solution

The third proportional to 376,650 and 827,658 is: 1,818,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,650 : 827,658 = 827,658 : x
  2. Step 2: Convert to fraction form
    376,650/827,658 = 827,658/x
  3. Step 3: Cross multiply
    376,650x = 827,658 × 827,658
  4. Step 4: Simplify right side
    376,650x = 685,017,764,964
  5. Step 5: Solve for x
    x = 685,017,764,964/376,650
  6. Step 6: Final answer
    x = 1,818,711.71

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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.