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Finding the Third Proportional to 394,224 and 862,803

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Solution

The third proportional to 394,224 and 862,803 is: 1,888,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,224 : 862,803 = 862,803 : x
  2. Step 2: Convert to fraction form
    394,224/862,803 = 862,803/x
  3. Step 3: Cross multiply
    394,224x = 862,803 × 862,803
  4. Step 4: Simplify right side
    394,224x = 744,429,016,809
  5. Step 5: Solve for x
    x = 744,429,016,809/394,224
  6. Step 6: Final answer
    x = 1,888,340.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.