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Finding the Third Proportional to 394,038 and 842,832

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Solution

The third proportional to 394,038 and 842,832 is: 1,802,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,038 : 842,832 = 842,832 : x
  2. Step 2: Convert to fraction form
    394,038/842,832 = 842,832/x
  3. Step 3: Cross multiply
    394,038x = 842,832 × 842,832
  4. Step 4: Simplify right side
    394,038x = 710,365,780,224
  5. Step 5: Solve for x
    x = 710,365,780,224/394,038
  6. Step 6: Final answer
    x = 1,802,784.96

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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.