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Finding the Third Proportional to 394,800 and 562,674

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Solution

The third proportional to 394,800 and 562,674 is: 801,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,800 : 562,674 = 562,674 : x
  2. Step 2: Convert to fraction form
    394,800/562,674 = 562,674/x
  3. Step 3: Cross multiply
    394,800x = 562,674 × 562,674
  4. Step 4: Simplify right side
    394,800x = 316,602,030,276
  5. Step 5: Solve for x
    x = 316,602,030,276/394,800
  6. Step 6: Final answer
    x = 801,930.17

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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.