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Finding the Third Proportional to 521,568 and 744,441.75

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Solution

The third proportional to 521,568 and 744,441.75 is: 1,062,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,568 : 744,441.75 = 744,441.75 : x
  2. Step 2: Convert to fraction form
    521,568/744,441.75 = 744,441.75/x
  3. Step 3: Cross multiply
    521,568x = 744,441.75 × 744,441.75
  4. Step 4: Simplify right side
    521,568x = 554,193,519,143.06
  5. Step 5: Solve for x
    x = 554,193,519,143.06/521,568
  6. Step 6: Final answer
    x = 1,062,552.76

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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.