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Finding the Third Proportional to 408,768 and 893,568

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Solution

The third proportional to 408,768 and 893,568 is: 1,953,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,768 : 893,568 = 893,568 : x
  2. Step 2: Convert to fraction form
    408,768/893,568 = 893,568/x
  3. Step 3: Cross multiply
    408,768x = 893,568 × 893,568
  4. Step 4: Simplify right side
    408,768x = 798,463,770,624
  5. Step 5: Solve for x
    x = 798,463,770,624/408,768
  6. Step 6: Final answer
    x = 1,953,342.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.