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Finding the Third Proportional to 485,670 and 728,505.75

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Solution

The third proportional to 485,670 and 728,505.75 is: 1,092,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,670 : 728,505.75 = 728,505.75 : x
  2. Step 2: Convert to fraction form
    485,670/728,505.75 = 728,505.75/x
  3. Step 3: Cross multiply
    485,670x = 728,505.75 × 728,505.75
  4. Step 4: Simplify right side
    485,670x = 530,720,627,783.06
  5. Step 5: Solve for x
    x = 530,720,627,783.06/485,670
  6. Step 6: Final answer
    x = 1,092,759.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.