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Finding the Third Proportional to 394,918 and 562,837

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Solution

The third proportional to 394,918 and 562,837 is: 802,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,918 : 562,837 = 562,837 : x
  2. Step 2: Convert to fraction form
    394,918/562,837 = 562,837/x
  3. Step 3: Cross multiply
    394,918x = 562,837 × 562,837
  4. Step 4: Simplify right side
    394,918x = 316,785,488,569
  5. Step 5: Solve for x
    x = 316,785,488,569/394,918
  6. Step 6: Final answer
    x = 802,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.