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Finding the Third Proportional to 752,600.25 and 1,072,844.25

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Solution

The third proportional to 752,600.25 and 1,072,844.25 is: 1,529,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,600.25 : 1,072,844.25 = 1,072,844.25 : x
  2. Step 2: Convert to fraction form
    752,600.25/1,072,844.25 = 1,072,844.25/x
  3. Step 3: Cross multiply
    752,600.25x = 1,072,844.25 × 1,072,844.25
  4. Step 4: Simplify right side
    752,600.25x = 1,150,994,784,758.06
  5. Step 5: Solve for x
    x = 1,150,994,784,758.06/752,600.25
  6. Step 6: Final answer
    x = 1,529,357.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.