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Finding the Third Proportional to 276,412.50 and 416,566.55

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Solution

The third proportional to 276,412.50 and 416,566.55 is: 627,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,412.50 : 416,566.55 = 416,566.55 : x
  2. Step 2: Convert to fraction form
    276,412.50/416,566.55 = 416,566.55/x
  3. Step 3: Cross multiply
    276,412.50x = 416,566.55 × 416,566.55
  4. Step 4: Simplify right side
    276,412.50x = 173,527,687,975.36
  5. Step 5: Solve for x
    x = 173,527,687,975.36/276,412.50
  6. Step 6: Final answer
    x = 627,785.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.