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Finding the Third Proportional to 394,093 and 819,637.50

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Solution

The third proportional to 394,093 and 819,637.50 is: 1,704,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,093 : 819,637.50 = 819,637.50 : x
  2. Step 2: Convert to fraction form
    394,093/819,637.50 = 819,637.50/x
  3. Step 3: Cross multiply
    394,093x = 819,637.50 × 819,637.50
  4. Step 4: Simplify right side
    394,093x = 671,805,631,406.25
  5. Step 5: Solve for x
    x = 671,805,631,406.25/394,093
  6. Step 6: Final answer
    x = 1,704,688.06

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