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Finding the Third Proportional to 414,934 and 640,828

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Solution

The third proportional to 414,934 and 640,828 is: 989,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,934 : 640,828 = 640,828 : x
  2. Step 2: Convert to fraction form
    414,934/640,828 = 640,828/x
  3. Step 3: Cross multiply
    414,934x = 640,828 × 640,828
  4. Step 4: Simplify right side
    414,934x = 410,660,525,584
  5. Step 5: Solve for x
    x = 410,660,525,584/414,934
  6. Step 6: Final answer
    x = 989,700.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.