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Finding the Third Proportional to 285,109 and 398,599

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Solution

The third proportional to 285,109 and 398,599 is: 557,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,109 : 398,599 = 398,599 : x
  2. Step 2: Convert to fraction form
    285,109/398,599 = 398,599/x
  3. Step 3: Cross multiply
    285,109x = 398,599 × 398,599
  4. Step 4: Simplify right side
    285,109x = 158,881,162,801
  5. Step 5: Solve for x
    x = 158,881,162,801/285,109
  6. Step 6: Final answer
    x = 557,264.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.