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Finding the Third Proportional to 372,396 and 809,592

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Solution

The third proportional to 372,396 and 809,592 is: 1,760,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,396 : 809,592 = 809,592 : x
  2. Step 2: Convert to fraction form
    372,396/809,592 = 809,592/x
  3. Step 3: Cross multiply
    372,396x = 809,592 × 809,592
  4. Step 4: Simplify right side
    372,396x = 655,439,206,464
  5. Step 5: Solve for x
    x = 655,439,206,464/372,396
  6. Step 6: Final answer
    x = 1,760,059.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.