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Finding the Third Proportional to 566,967 and 816,916

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Solution

The third proportional to 566,967 and 816,916 is: 1,177,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,967 : 816,916 = 816,916 : x
  2. Step 2: Convert to fraction form
    566,967/816,916 = 816,916/x
  3. Step 3: Cross multiply
    566,967x = 816,916 × 816,916
  4. Step 4: Simplify right side
    566,967x = 667,351,751,056
  5. Step 5: Solve for x
    x = 667,351,751,056/566,967
  6. Step 6: Final answer
    x = 1,177,055.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.