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Finding the Third Proportional to 383,566 and 807,568

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Solution

The third proportional to 383,566 and 807,568 is: 1,700,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,566 : 807,568 = 807,568 : x
  2. Step 2: Convert to fraction form
    383,566/807,568 = 807,568/x
  3. Step 3: Cross multiply
    383,566x = 807,568 × 807,568
  4. Step 4: Simplify right side
    383,566x = 652,166,074,624
  5. Step 5: Solve for x
    x = 652,166,074,624/383,566
  6. Step 6: Final answer
    x = 1,700,270.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.