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Finding the Third Proportional to 246,093 and 401,844

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Solution

The third proportional to 246,093 and 401,844 is: 656,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,093 : 401,844 = 401,844 : x
  2. Step 2: Convert to fraction form
    246,093/401,844 = 401,844/x
  3. Step 3: Cross multiply
    246,093x = 401,844 × 401,844
  4. Step 4: Simplify right side
    246,093x = 161,478,600,336
  5. Step 5: Solve for x
    x = 161,478,600,336/246,093
  6. Step 6: Final answer
    x = 656,169.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.