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Finding the Third Proportional to 306,481.50 and 460,140.75

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Solution

The third proportional to 306,481.50 and 460,140.75 is: 690,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,481.50 : 460,140.75 = 460,140.75 : x
  2. Step 2: Convert to fraction form
    306,481.50/460,140.75 = 460,140.75/x
  3. Step 3: Cross multiply
    306,481.50x = 460,140.75 × 460,140.75
  4. Step 4: Simplify right side
    306,481.50x = 211,729,509,810.56
  5. Step 5: Solve for x
    x = 211,729,509,810.56/306,481.50
  6. Step 6: Final answer
    x = 690,839.45

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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.