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Finding the Third Proportional to 312,552.75 and 466,769.25

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Solution

The third proportional to 312,552.75 and 466,769.25 is: 697,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,552.75 : 466,769.25 = 466,769.25 : x
  2. Step 2: Convert to fraction form
    312,552.75/466,769.25 = 466,769.25/x
  3. Step 3: Cross multiply
    312,552.75x = 466,769.25 × 466,769.25
  4. Step 4: Simplify right side
    312,552.75x = 217,873,532,745.56
  5. Step 5: Solve for x
    x = 217,873,532,745.56/312,552.75
  6. Step 6: Final answer
    x = 697,077.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.