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Finding the Third Proportional to 523,249.50 and 788,707.50

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Solution

The third proportional to 523,249.50 and 788,707.50 is: 1,188,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,249.50 : 788,707.50 = 788,707.50 : x
  2. Step 2: Convert to fraction form
    523,249.50/788,707.50 = 788,707.50/x
  3. Step 3: Cross multiply
    523,249.50x = 788,707.50 × 788,707.50
  4. Step 4: Simplify right side
    523,249.50x = 622,059,520,556.25
  5. Step 5: Solve for x
    x = 622,059,520,556.25/523,249.50
  6. Step 6: Final answer
    x = 1,188,839.21

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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.