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Finding the Third Proportional to 241,600.50 and 520,309.50

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Solution

The third proportional to 241,600.50 and 520,309.50 is: 1,120,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,600.50 : 520,309.50 = 520,309.50 : x
  2. Step 2: Convert to fraction form
    241,600.50/520,309.50 = 520,309.50/x
  3. Step 3: Cross multiply
    241,600.50x = 520,309.50 × 520,309.50
  4. Step 4: Simplify right side
    241,600.50x = 270,721,975,790.25
  5. Step 5: Solve for x
    x = 270,721,975,790.25/241,600.50
  6. Step 6: Final answer
    x = 1,120,535.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.