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Finding the Third Proportional to 276,007.50 and 562,164.75

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Solution

The third proportional to 276,007.50 and 562,164.75 is: 1,145,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,007.50 : 562,164.75 = 562,164.75 : x
  2. Step 2: Convert to fraction form
    276,007.50/562,164.75 = 562,164.75/x
  3. Step 3: Cross multiply
    276,007.50x = 562,164.75 × 562,164.75
  4. Step 4: Simplify right side
    276,007.50x = 316,029,206,142.56
  5. Step 5: Solve for x
    x = 316,029,206,142.56/276,007.50
  6. Step 6: Final answer
    x = 1,145,002.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.