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Finding the Third Proportional to 412,924.50 and 638,163.50

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Solution

The third proportional to 412,924.50 and 638,163.50 is: 986,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,924.50 : 638,163.50 = 638,163.50 : x
  2. Step 2: Convert to fraction form
    412,924.50/638,163.50 = 638,163.50/x
  3. Step 3: Cross multiply
    412,924.50x = 638,163.50 × 638,163.50
  4. Step 4: Simplify right side
    412,924.50x = 407,252,652,732.25
  5. Step 5: Solve for x
    x = 407,252,652,732.25/412,924.50
  6. Step 6: Final answer
    x = 986,264.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.