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Finding the Third Proportional to 360,523.50 and 834,591

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Solution

The third proportional to 360,523.50 and 834,591 is: 1,932,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,523.50 : 834,591 = 834,591 : x
  2. Step 2: Convert to fraction form
    360,523.50/834,591 = 834,591/x
  3. Step 3: Cross multiply
    360,523.50x = 834,591 × 834,591
  4. Step 4: Simplify right side
    360,523.50x = 696,542,137,281
  5. Step 5: Solve for x
    x = 696,542,137,281/360,523.50
  6. Step 6: Final answer
    x = 1,932,029.78

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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.