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Finding the Third Proportional to 394,828 and 562,710

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Solution

The third proportional to 394,828 and 562,710 is: 801,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,828 : 562,710 = 562,710 : x
  2. Step 2: Convert to fraction form
    394,828/562,710 = 562,710/x
  3. Step 3: Cross multiply
    394,828x = 562,710 × 562,710
  4. Step 4: Simplify right side
    394,828x = 316,642,544,100
  5. Step 5: Solve for x
    x = 316,642,544,100/394,828
  6. Step 6: Final answer
    x = 801,975.91

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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.