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Finding the Third Proportional to 485,385.75 and 759,768.19

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Solution

The third proportional to 485,385.75 and 759,768.19 is: 1,189,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,385.75 : 759,768.19 = 759,768.19 : x
  2. Step 2: Convert to fraction form
    485,385.75/759,768.19 = 759,768.19/x
  3. Step 3: Cross multiply
    485,385.75x = 759,768.19 × 759,768.19
  4. Step 4: Simplify right side
    485,385.75x = 577,247,698,737.04
  5. Step 5: Solve for x
    x = 577,247,698,737.04/485,385.75
  6. Step 6: Final answer
    x = 1,189,255.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.