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Finding the Third Proportional to 412,591 and 621,617

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Solution

The third proportional to 412,591 and 621,617 is: 936,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,591 : 621,617 = 621,617 : x
  2. Step 2: Convert to fraction form
    412,591/621,617 = 621,617/x
  3. Step 3: Cross multiply
    412,591x = 621,617 × 621,617
  4. Step 4: Simplify right side
    412,591x = 386,407,694,689
  5. Step 5: Solve for x
    x = 386,407,694,689/412,591
  6. Step 6: Final answer
    x = 936,539.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.