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Finding the Third Proportional to 412,874 and 638,101

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Solution

The third proportional to 412,874 and 638,101 is: 986,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,874 : 638,101 = 638,101 : x
  2. Step 2: Convert to fraction form
    412,874/638,101 = 638,101/x
  3. Step 3: Cross multiply
    412,874x = 638,101 × 638,101
  4. Step 4: Simplify right side
    412,874x = 407,172,886,201
  5. Step 5: Solve for x
    x = 407,172,886,201/412,874
  6. Step 6: Final answer
    x = 986,191.64

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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.