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Finding the Third Proportional to 247,221.75 and 531,703.50

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Solution

The third proportional to 247,221.75 and 531,703.50 is: 1,143,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,221.75 : 531,703.50 = 531,703.50 : x
  2. Step 2: Convert to fraction form
    247,221.75/531,703.50 = 531,703.50/x
  3. Step 3: Cross multiply
    247,221.75x = 531,703.50 × 531,703.50
  4. Step 4: Simplify right side
    247,221.75x = 282,708,611,912.25
  5. Step 5: Solve for x
    x = 282,708,611,912.25/247,221.75
  6. Step 6: Final answer
    x = 1,143,542.64

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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.