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Finding the Third Proportional to 394,512.94 and 849,360.56

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Solution

The third proportional to 394,512.94 and 849,360.56 is: 1,828,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,512.94 : 849,360.56 = 849,360.56 : x
  2. Step 2: Convert to fraction form
    394,512.94/849,360.56 = 849,360.56/x
  3. Step 3: Cross multiply
    394,512.94x = 849,360.56 × 849,360.56
  4. Step 4: Simplify right side
    394,512.94x = 721,413,365,130.32
  5. Step 5: Solve for x
    x = 721,413,365,130.32/394,512.94
  6. Step 6: Final answer
    x = 1,828,617.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.