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Finding the Third Proportional to 382,024 and 809,576

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Solution

The third proportional to 382,024 and 809,576 is: 1,715,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,024 : 809,576 = 809,576 : x
  2. Step 2: Convert to fraction form
    382,024/809,576 = 809,576/x
  3. Step 3: Cross multiply
    382,024x = 809,576 × 809,576
  4. Step 4: Simplify right side
    382,024x = 655,413,299,776
  5. Step 5: Solve for x
    x = 655,413,299,776/382,024
  6. Step 6: Final answer
    x = 1,715,633.83

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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.