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Finding the Third Proportional to 372,398 and 809,596

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Solution

The third proportional to 372,398 and 809,596 is: 1,760,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,398 : 809,596 = 809,596 : x
  2. Step 2: Convert to fraction form
    372,398/809,596 = 809,596/x
  3. Step 3: Cross multiply
    372,398x = 809,596 × 809,596
  4. Step 4: Simplify right side
    372,398x = 655,445,683,216
  5. Step 5: Solve for x
    x = 655,445,683,216/372,398
  6. Step 6: Final answer
    x = 1,760,067.68

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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.