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Finding the Third Proportional to 752,512 and 1,003,200

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Solution

The third proportional to 752,512 and 1,003,200 is: 1,337,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,512 : 1,003,200 = 1,003,200 : x
  2. Step 2: Convert to fraction form
    752,512/1,003,200 = 1,003,200/x
  3. Step 3: Cross multiply
    752,512x = 1,003,200 × 1,003,200
  4. Step 4: Simplify right side
    752,512x = 1,006,410,240,000
  5. Step 5: Solve for x
    x = 1,006,410,240,000/752,512
  6. Step 6: Final answer
    x = 1,337,400.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.