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Finding the Third Proportional to 360,524 and 834,592

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Solution

The third proportional to 360,524 and 834,592 is: 1,932,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,524 : 834,592 = 834,592 : x
  2. Step 2: Convert to fraction form
    360,524/834,592 = 834,592/x
  3. Step 3: Cross multiply
    360,524x = 834,592 × 834,592
  4. Step 4: Simplify right side
    360,524x = 696,543,806,464
  5. Step 5: Solve for x
    x = 696,543,806,464/360,524
  6. Step 6: Final answer
    x = 1,932,031.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.