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Finding the Third Proportional to 263,333.53 and 397,349.30

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Solution

The third proportional to 263,333.53 and 397,349.30 is: 599,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,333.53 : 397,349.30 = 397,349.30 : x
  2. Step 2: Convert to fraction form
    263,333.53/397,349.30 = 397,349.30/x
  3. Step 3: Cross multiply
    263,333.53x = 397,349.30 × 397,349.30
  4. Step 4: Simplify right side
    263,333.53x = 157,886,463,727.06
  5. Step 5: Solve for x
    x = 157,886,463,727.06/263,333.53
  6. Step 6: Final answer
    x = 599,568.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.