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Finding the Third Proportional to 407,112.75 and 584,364.38

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Solution

The third proportional to 407,112.75 and 584,364.38 is: 838,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112.75 : 584,364.38 = 584,364.38 : x
  2. Step 2: Convert to fraction form
    407,112.75/584,364.38 = 584,364.38/x
  3. Step 3: Cross multiply
    407,112.75x = 584,364.38 × 584,364.38
  4. Step 4: Simplify right side
    407,112.75x = 341,481,722,769.14
  5. Step 5: Solve for x
    x = 341,481,722,769.14/407,112.75
  6. Step 6: Final answer
    x = 838,789.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.