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Finding the Third Proportional to 366,120.74 and 547,855.11

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Solution

The third proportional to 366,120.74 and 547,855.11 is: 819,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,120.74 : 547,855.11 = 547,855.11 : x
  2. Step 2: Convert to fraction form
    366,120.74/547,855.11 = 547,855.11/x
  3. Step 3: Cross multiply
    366,120.74x = 547,855.11 × 547,855.11
  4. Step 4: Simplify right side
    366,120.74x = 300,145,224,947.84
  5. Step 5: Solve for x
    x = 300,145,224,947.84/366,120.74
  6. Step 6: Final answer
    x = 819,798.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.