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Finding the Third Proportional to 382,022 and 809,572

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Solution

The third proportional to 382,022 and 809,572 is: 1,715,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022 : 809,572 = 809,572 : x
  2. Step 2: Convert to fraction form
    382,022/809,572 = 809,572/x
  3. Step 3: Cross multiply
    382,022x = 809,572 × 809,572
  4. Step 4: Simplify right side
    382,022x = 655,406,823,184
  5. Step 5: Solve for x
    x = 655,406,823,184/382,022
  6. Step 6: Final answer
    x = 1,715,625.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.