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Finding the Third Proportional to 370,149.75 and 768,305.25

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Solution

The third proportional to 370,149.75 and 768,305.25 is: 1,594,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,149.75 : 768,305.25 = 768,305.25 : x
  2. Step 2: Convert to fraction form
    370,149.75/768,305.25 = 768,305.25/x
  3. Step 3: Cross multiply
    370,149.75x = 768,305.25 × 768,305.25
  4. Step 4: Simplify right side
    370,149.75x = 590,292,957,177.56
  5. Step 5: Solve for x
    x = 590,292,957,177.56/370,149.75
  6. Step 6: Final answer
    x = 1,594,740.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.