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Finding the Third Proportional to 276,273.20 and 412,705.48

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Solution

The third proportional to 276,273.20 and 412,705.48 is: 616,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,273.20 : 412,705.48 = 412,705.48 : x
  2. Step 2: Convert to fraction form
    276,273.20/412,705.48 = 412,705.48/x
  3. Step 3: Cross multiply
    276,273.20x = 412,705.48 × 412,705.48
  4. Step 4: Simplify right side
    276,273.20x = 170,325,814,011.97
  5. Step 5: Solve for x
    x = 170,325,814,011.97/276,273.20
  6. Step 6: Final answer
    x = 616,512.25

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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.