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Finding the Third Proportional to 349,286.25 and 525,659.25

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Solution

The third proportional to 349,286.25 and 525,659.25 is: 791,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,286.25 : 525,659.25 = 525,659.25 : x
  2. Step 2: Convert to fraction form
    349,286.25/525,659.25 = 525,659.25/x
  3. Step 3: Cross multiply
    349,286.25x = 525,659.25 × 525,659.25
  4. Step 4: Simplify right side
    349,286.25x = 276,317,647,110.56
  5. Step 5: Solve for x
    x = 276,317,647,110.56/349,286.25
  6. Step 6: Final answer
    x = 791,092.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.