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Finding the Third Proportional to 729,847.50 and 1,162,224

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Solution

The third proportional to 729,847.50 and 1,162,224 is: 1,850,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,847.50 : 1,162,224 = 1,162,224 : x
  2. Step 2: Convert to fraction form
    729,847.50/1,162,224 = 1,162,224/x
  3. Step 3: Cross multiply
    729,847.50x = 1,162,224 × 1,162,224
  4. Step 4: Simplify right side
    729,847.50x = 1,350,764,626,176
  5. Step 5: Solve for x
    x = 1,350,764,626,176/729,847.50
  6. Step 6: Final answer
    x = 1,850,749.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.