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Finding the Third Proportional to 394,813.41 and 564,597.84

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Solution

The third proportional to 394,813.41 and 564,597.84 is: 807,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,813.41 : 564,597.84 = 564,597.84 : x
  2. Step 2: Convert to fraction form
    394,813.41/564,597.84 = 564,597.84/x
  3. Step 3: Cross multiply
    394,813.41x = 564,597.84 × 564,597.84
  4. Step 4: Simplify right side
    394,813.41x = 318,770,725,167.15
  5. Step 5: Solve for x
    x = 318,770,725,167.15/394,813.41
  6. Step 6: Final answer
    x = 807,395.90

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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.