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Finding the Third Proportional to 394,085.25 and 611,458.88

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Solution

The third proportional to 394,085.25 and 611,458.88 is: 948,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,085.25 : 611,458.88 = 611,458.88 : x
  2. Step 2: Convert to fraction form
    394,085.25/611,458.88 = 611,458.88/x
  3. Step 3: Cross multiply
    394,085.25x = 611,458.88 × 611,458.88
  4. Step 4: Simplify right side
    394,085.25x = 373,881,955,816.27
  5. Step 5: Solve for x
    x = 373,881,955,816.27/394,085.25
  6. Step 6: Final answer
    x = 948,733.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.