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Finding the Third Proportional to 394,097.50 and 819,645.50

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Solution

The third proportional to 394,097.50 and 819,645.50 is: 1,704,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,097.50 : 819,645.50 = 819,645.50 : x
  2. Step 2: Convert to fraction form
    394,097.50/819,645.50 = 819,645.50/x
  3. Step 3: Cross multiply
    394,097.50x = 819,645.50 × 819,645.50
  4. Step 4: Simplify right side
    394,097.50x = 671,818,745,670.25
  5. Step 5: Solve for x
    x = 671,818,745,670.25/394,097.50
  6. Step 6: Final answer
    x = 1,704,701.87

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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.