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Finding the Third Proportional to 414,624 and 622,260

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Solution

The third proportional to 414,624 and 622,260 is: 933,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,624 : 622,260 = 622,260 : x
  2. Step 2: Convert to fraction form
    414,624/622,260 = 622,260/x
  3. Step 3: Cross multiply
    414,624x = 622,260 × 622,260
  4. Step 4: Simplify right side
    414,624x = 387,207,507,600
  5. Step 5: Solve for x
    x = 387,207,507,600/414,624
  6. Step 6: Final answer
    x = 933,876.25

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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.