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Finding the Third Proportional to 365,107.50 and 786,388.50

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Solution

The third proportional to 365,107.50 and 786,388.50 is: 1,693,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,107.50 : 786,388.50 = 786,388.50 : x
  2. Step 2: Convert to fraction form
    365,107.50/786,388.50 = 786,388.50/x
  3. Step 3: Cross multiply
    365,107.50x = 786,388.50 × 786,388.50
  4. Step 4: Simplify right side
    365,107.50x = 618,406,872,932.25
  5. Step 5: Solve for x
    x = 618,406,872,932.25/365,107.50
  6. Step 6: Final answer
    x = 1,693,766.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.