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Finding the Third Proportional to 394,864 and 562,760

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Solution

The third proportional to 394,864 and 562,760 is: 802,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,864 : 562,760 = 562,760 : x
  2. Step 2: Convert to fraction form
    394,864/562,760 = 562,760/x
  3. Step 3: Cross multiply
    394,864x = 562,760 × 562,760
  4. Step 4: Simplify right side
    394,864x = 316,698,817,600
  5. Step 5: Solve for x
    x = 316,698,817,600/394,864
  6. Step 6: Final answer
    x = 802,045.31

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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.