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Finding the Third Proportional to 247,296 and 534,016

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Solution

The third proportional to 247,296 and 534,016 is: 1,153,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,296 : 534,016 = 534,016 : x
  2. Step 2: Convert to fraction form
    247,296/534,016 = 534,016/x
  3. Step 3: Cross multiply
    247,296x = 534,016 × 534,016
  4. Step 4: Simplify right side
    247,296x = 285,173,088,256
  5. Step 5: Solve for x
    x = 285,173,088,256/247,296
  6. Step 6: Final answer
    x = 1,153,164.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.