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Finding the Third Proportional to 382,028 and 809,584

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Solution

The third proportional to 382,028 and 809,584 is: 1,715,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,028 : 809,584 = 809,584 : x
  2. Step 2: Convert to fraction form
    382,028/809,584 = 809,584/x
  3. Step 3: Cross multiply
    382,028x = 809,584 × 809,584
  4. Step 4: Simplify right side
    382,028x = 655,426,253,056
  5. Step 5: Solve for x
    x = 655,426,253,056/382,028
  6. Step 6: Final answer
    x = 1,715,649.78

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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.