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Finding the Third Proportional to 678,394.50 and 921,327.75

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Solution

The third proportional to 678,394.50 and 921,327.75 is: 1,251,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,394.50 : 921,327.75 = 921,327.75 : x
  2. Step 2: Convert to fraction form
    678,394.50/921,327.75 = 921,327.75/x
  3. Step 3: Cross multiply
    678,394.50x = 921,327.75 × 921,327.75
  4. Step 4: Simplify right side
    678,394.50x = 848,844,822,920.06
  5. Step 5: Solve for x
    x = 848,844,822,920.06/678,394.50
  6. Step 6: Final answer
    x = 1,251,255.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.