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Finding the Third Proportional to 367,947.50 and 814,586.50

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Solution

The third proportional to 367,947.50 and 814,586.50 is: 1,803,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,947.50 : 814,586.50 = 814,586.50 : x
  2. Step 2: Convert to fraction form
    367,947.50/814,586.50 = 814,586.50/x
  3. Step 3: Cross multiply
    367,947.50x = 814,586.50 × 814,586.50
  4. Step 4: Simplify right side
    367,947.50x = 663,551,165,982.25
  5. Step 5: Solve for x
    x = 663,551,165,982.25/367,947.50
  6. Step 6: Final answer
    x = 1,803,385.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.