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Finding the Third Proportional to 378,923.06 and 810,364.50

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Solution

The third proportional to 378,923.06 and 810,364.50 is: 1,733,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,923.06 : 810,364.50 = 810,364.50 : x
  2. Step 2: Convert to fraction form
    378,923.06/810,364.50 = 810,364.50/x
  3. Step 3: Cross multiply
    378,923.06x = 810,364.50 × 810,364.50
  4. Step 4: Simplify right side
    378,923.06x = 656,690,622,860.25
  5. Step 5: Solve for x
    x = 656,690,622,860.25/378,923.06
  6. Step 6: Final answer
    x = 1,733,044.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.