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Finding the Third Proportional to 394,095.75 and 819,642.75

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Solution

The third proportional to 394,095.75 and 819,642.75 is: 1,704,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,095.75 : 819,642.75 = 819,642.75 : x
  2. Step 2: Convert to fraction form
    394,095.75/819,642.75 = 819,642.75/x
  3. Step 3: Cross multiply
    394,095.75x = 819,642.75 × 819,642.75
  4. Step 4: Simplify right side
    394,095.75x = 671,814,237,627.56
  5. Step 5: Solve for x
    x = 671,814,237,627.56/394,095.75
  6. Step 6: Final answer
    x = 1,704,698.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.