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Finding the Third Proportional to 246,042 and 401,761

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Solution

The third proportional to 246,042 and 401,761 is: 656,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,042 : 401,761 = 401,761 : x
  2. Step 2: Convert to fraction form
    246,042/401,761 = 401,761/x
  3. Step 3: Cross multiply
    246,042x = 401,761 × 401,761
  4. Step 4: Simplify right side
    246,042x = 161,411,901,121
  5. Step 5: Solve for x
    x = 161,411,901,121/246,042
  6. Step 6: Final answer
    x = 656,033.93

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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.