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Finding the Third Proportional to 403,856 and 633,568

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Solution

The third proportional to 403,856 and 633,568 is: 993,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,856 : 633,568 = 633,568 : x
  2. Step 2: Convert to fraction form
    403,856/633,568 = 633,568/x
  3. Step 3: Cross multiply
    403,856x = 633,568 × 633,568
  4. Step 4: Simplify right side
    403,856x = 401,408,410,624
  5. Step 5: Solve for x
    x = 401,408,410,624/403,856
  6. Step 6: Final answer
    x = 993,939.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.