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Finding the Third Proportional to 462,027 and 691,161

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Solution

The third proportional to 462,027 and 691,161 is: 1,033,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,027 : 691,161 = 691,161 : x
  2. Step 2: Convert to fraction form
    462,027/691,161 = 691,161/x
  3. Step 3: Cross multiply
    462,027x = 691,161 × 691,161
  4. Step 4: Simplify right side
    462,027x = 477,703,527,921
  5. Step 5: Solve for x
    x = 477,703,527,921/462,027
  6. Step 6: Final answer
    x = 1,033,929.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.