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Finding the Third Proportional to 276,616.50 and 413,152.50

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Solution

The third proportional to 276,616.50 and 413,152.50 is: 617,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,616.50 : 413,152.50 = 413,152.50 : x
  2. Step 2: Convert to fraction form
    276,616.50/413,152.50 = 413,152.50/x
  3. Step 3: Cross multiply
    276,616.50x = 413,152.50 × 413,152.50
  4. Step 4: Simplify right side
    276,616.50x = 170,694,988,256.25
  5. Step 5: Solve for x
    x = 170,694,988,256.25/276,616.50
  6. Step 6: Final answer
    x = 617,081.73

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