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Finding the Third Proportional to 476,268 and 725,568

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Solution

The third proportional to 476,268 and 725,568 is: 1,105,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,268 : 725,568 = 725,568 : x
  2. Step 2: Convert to fraction form
    476,268/725,568 = 725,568/x
  3. Step 3: Cross multiply
    476,268x = 725,568 × 725,568
  4. Step 4: Simplify right side
    476,268x = 526,448,922,624
  5. Step 5: Solve for x
    x = 526,448,922,624/476,268
  6. Step 6: Final answer
    x = 1,105,362.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.