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Finding the Third Proportional to 386,410.50 and 853,087.50

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Solution

The third proportional to 386,410.50 and 853,087.50 is: 1,883,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,410.50 : 853,087.50 = 853,087.50 : x
  2. Step 2: Convert to fraction form
    386,410.50/853,087.50 = 853,087.50/x
  3. Step 3: Cross multiply
    386,410.50x = 853,087.50 × 853,087.50
  4. Step 4: Simplify right side
    386,410.50x = 727,758,282,656.25
  5. Step 5: Solve for x
    x = 727,758,282,656.25/386,410.50
  6. Step 6: Final answer
    x = 1,883,381.23

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.