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Finding the Third Proportional to 342,285.75 and 763,276.50

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Solution

The third proportional to 342,285.75 and 763,276.50 is: 1,702,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,285.75 : 763,276.50 = 763,276.50 : x
  2. Step 2: Convert to fraction form
    342,285.75/763,276.50 = 763,276.50/x
  3. Step 3: Cross multiply
    342,285.75x = 763,276.50 × 763,276.50
  4. Step 4: Simplify right side
    342,285.75x = 582,591,015,452.25
  5. Step 5: Solve for x
    x = 582,591,015,452.25/342,285.75
  6. Step 6: Final answer
    x = 1,702,060.39

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.