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Finding the Third Proportional to 276,612.75 and 413,148.38

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Solution

The third proportional to 276,612.75 and 413,148.38 is: 617,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,612.75 : 413,148.38 = 413,148.38 : x
  2. Step 2: Convert to fraction form
    276,612.75/413,148.38 = 413,148.38/x
  3. Step 3: Cross multiply
    276,612.75x = 413,148.38 × 413,148.38
  4. Step 4: Simplify right side
    276,612.75x = 170,691,579,765.14
  5. Step 5: Solve for x
    x = 170,691,579,765.14/276,612.75
  6. Step 6: Final answer
    x = 617,077.77

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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.