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Finding the Third Proportional to 351,560.25 and 728,043.19

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Solution

The third proportional to 351,560.25 and 728,043.19 is: 1,507,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,560.25 : 728,043.19 = 728,043.19 : x
  2. Step 2: Convert to fraction form
    351,560.25/728,043.19 = 728,043.19/x
  3. Step 3: Cross multiply
    351,560.25x = 728,043.19 × 728,043.19
  4. Step 4: Simplify right side
    351,560.25x = 530,046,882,865.16
  5. Step 5: Solve for x
    x = 530,046,882,865.16/351,560.25
  6. Step 6: Final answer
    x = 1,507,698.56

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.