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Finding the Third Proportional to 437,462 and 625,568

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Solution

The third proportional to 437,462 and 625,568 is: 894,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,462 : 625,568 = 625,568 : x
  2. Step 2: Convert to fraction form
    437,462/625,568 = 625,568/x
  3. Step 3: Cross multiply
    437,462x = 625,568 × 625,568
  4. Step 4: Simplify right side
    437,462x = 391,335,322,624
  5. Step 5: Solve for x
    x = 391,335,322,624/437,462
  6. Step 6: Final answer
    x = 894,558.44

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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.