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Finding the Third Proportional to 263,318.25 and 397,307.25

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Solution

The third proportional to 263,318.25 and 397,307.25 is: 599,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,318.25 : 397,307.25 = 397,307.25 : x
  2. Step 2: Convert to fraction form
    263,318.25/397,307.25 = 397,307.25/x
  3. Step 3: Cross multiply
    263,318.25x = 397,307.25 × 397,307.25
  4. Step 4: Simplify right side
    263,318.25x = 157,853,050,902.56
  5. Step 5: Solve for x
    x = 157,853,050,902.56/263,318.25
  6. Step 6: Final answer
    x = 599,476.30

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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.