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Finding the Third Proportional to 479,163 and 741,828

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Solution

The third proportional to 479,163 and 741,828 is: 1,148,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,163 : 741,828 = 741,828 : x
  2. Step 2: Convert to fraction form
    479,163/741,828 = 741,828/x
  3. Step 3: Cross multiply
    479,163x = 741,828 × 741,828
  4. Step 4: Simplify right side
    479,163x = 550,308,781,584
  5. Step 5: Solve for x
    x = 550,308,781,584/479,163
  6. Step 6: Final answer
    x = 1,148,479.29

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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.