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Finding the Third Proportional to 293,393 and 438,996

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Solution

The third proportional to 293,393 and 438,996 is: 656,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,393 : 438,996 = 438,996 : x
  2. Step 2: Convert to fraction form
    293,393/438,996 = 438,996/x
  3. Step 3: Cross multiply
    293,393x = 438,996 × 438,996
  4. Step 4: Simplify right side
    293,393x = 192,717,488,016
  5. Step 5: Solve for x
    x = 192,717,488,016/293,393
  6. Step 6: Final answer
    x = 656,857.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.