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Finding the Third Proportional to 743,910.50 and 1,112,982.75

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Solution

The third proportional to 743,910.50 and 1,112,982.75 is: 1,665,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,910.50 : 1,112,982.75 = 1,112,982.75 : x
  2. Step 2: Convert to fraction form
    743,910.50/1,112,982.75 = 1,112,982.75/x
  3. Step 3: Cross multiply
    743,910.50x = 1,112,982.75 × 1,112,982.75
  4. Step 4: Simplify right side
    743,910.50x = 1,238,730,601,797.56
  5. Step 5: Solve for x
    x = 1,238,730,601,797.56/743,910.50
  6. Step 6: Final answer
    x = 1,665,160.80

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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.