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Finding the Third Proportional to 382,026 and 809,580

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Solution

The third proportional to 382,026 and 809,580 is: 1,715,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,026 : 809,580 = 809,580 : x
  2. Step 2: Convert to fraction form
    382,026/809,580 = 809,580/x
  3. Step 3: Cross multiply
    382,026x = 809,580 × 809,580
  4. Step 4: Simplify right side
    382,026x = 655,419,776,400
  5. Step 5: Solve for x
    x = 655,419,776,400/382,026
  6. Step 6: Final answer
    x = 1,715,641.81

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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.