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Finding the Third Proportional to 370,027.50 and 809,256

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Solution

The third proportional to 370,027.50 and 809,256 is: 1,769,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,027.50 : 809,256 = 809,256 : x
  2. Step 2: Convert to fraction form
    370,027.50/809,256 = 809,256/x
  3. Step 3: Cross multiply
    370,027.50x = 809,256 × 809,256
  4. Step 4: Simplify right side
    370,027.50x = 654,895,273,536
  5. Step 5: Solve for x
    x = 654,895,273,536/370,027.50
  6. Step 6: Final answer
    x = 1,769,855.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.