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Finding the Third Proportional to 394,853.25 and 577,471.50

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Solution

The third proportional to 394,853.25 and 577,471.50 is: 844,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,853.25 : 577,471.50 = 577,471.50 : x
  2. Step 2: Convert to fraction form
    394,853.25/577,471.50 = 577,471.50/x
  3. Step 3: Cross multiply
    394,853.25x = 577,471.50 × 577,471.50
  4. Step 4: Simplify right side
    394,853.25x = 333,473,333,312.25
  5. Step 5: Solve for x
    x = 333,473,333,312.25/394,853.25
  6. Step 6: Final answer
    x = 844,550.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.