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Finding the Third Proportional to 378,000.05 and 599,486.06

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Solution

The third proportional to 378,000.05 and 599,486.06 is: 950,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000.05 : 599,486.06 = 599,486.06 : x
  2. Step 2: Convert to fraction form
    378,000.05/599,486.06 = 599,486.06/x
  3. Step 3: Cross multiply
    378,000.05x = 599,486.06 × 599,486.06
  4. Step 4: Simplify right side
    378,000.05x = 359,383,539,131.75
  5. Step 5: Solve for x
    x = 359,383,539,131.75/378,000.05
  6. Step 6: Final answer
    x = 950,749.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.