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Finding the Third Proportional to 246,036 and 401,748

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Solution

The third proportional to 246,036 and 401,748 is: 656,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,036 : 401,748 = 401,748 : x
  2. Step 2: Convert to fraction form
    246,036/401,748 = 401,748/x
  3. Step 3: Cross multiply
    246,036x = 401,748 × 401,748
  4. Step 4: Simplify right side
    246,036x = 161,401,455,504
  5. Step 5: Solve for x
    x = 161,401,455,504/246,036
  6. Step 6: Final answer
    x = 656,007.48

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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.