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Finding the Third Proportional to 613,984.50 and 1,335,300.75

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Solution

The third proportional to 613,984.50 and 1,335,300.75 is: 2,904,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,984.50 : 1,335,300.75 = 1,335,300.75 : x
  2. Step 2: Convert to fraction form
    613,984.50/1,335,300.75 = 1,335,300.75/x
  3. Step 3: Cross multiply
    613,984.50x = 1,335,300.75 × 1,335,300.75
  4. Step 4: Simplify right side
    613,984.50x = 1,783,028,092,950.56
  5. Step 5: Solve for x
    x = 1,783,028,092,950.56/613,984.50
  6. Step 6: Final answer
    x = 2,904,027.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.