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Finding the Third Proportional to 412,928 and 638,170

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Solution

The third proportional to 412,928 and 638,170 is: 986,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,928 : 638,170 = 638,170 : x
  2. Step 2: Convert to fraction form
    412,928/638,170 = 638,170/x
  3. Step 3: Cross multiply
    412,928x = 638,170 × 638,170
  4. Step 4: Simplify right side
    412,928x = 407,260,948,900
  5. Step 5: Solve for x
    x = 407,260,948,900/412,928
  6. Step 6: Final answer
    x = 986,275.93

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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.