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Finding the Third Proportional to 305,102.50 and 656,121.75

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Solution

The third proportional to 305,102.50 and 656,121.75 is: 1,410,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102.50 : 656,121.75 = 656,121.75 : x
  2. Step 2: Convert to fraction form
    305,102.50/656,121.75 = 656,121.75/x
  3. Step 3: Cross multiply
    305,102.50x = 656,121.75 × 656,121.75
  4. Step 4: Simplify right side
    305,102.50x = 430,495,750,823.06
  5. Step 5: Solve for x
    x = 430,495,750,823.06/305,102.50
  6. Step 6: Final answer
    x = 1,410,987.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.