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Finding the Third Proportional to 394,032 and 843,360

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Solution

The third proportional to 394,032 and 843,360 is: 1,805,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,032 : 843,360 = 843,360 : x
  2. Step 2: Convert to fraction form
    394,032/843,360 = 843,360/x
  3. Step 3: Cross multiply
    394,032x = 843,360 × 843,360
  4. Step 4: Simplify right side
    394,032x = 711,256,089,600
  5. Step 5: Solve for x
    x = 711,256,089,600/394,032
  6. Step 6: Final answer
    x = 1,805,071.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.