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Finding the Third Proportional to 378,796.50 and 574,573.50

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Solution

The third proportional to 378,796.50 and 574,573.50 is: 871,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,796.50 : 574,573.50 = 574,573.50 : x
  2. Step 2: Convert to fraction form
    378,796.50/574,573.50 = 574,573.50/x
  3. Step 3: Cross multiply
    378,796.50x = 574,573.50 × 574,573.50
  4. Step 4: Simplify right side
    378,796.50x = 330,134,706,902.25
  5. Step 5: Solve for x
    x = 330,134,706,902.25/378,796.50
  6. Step 6: Final answer
    x = 871,535.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.