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Finding the Third Proportional to 248,446 and 536,238

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Solution

The third proportional to 248,446 and 536,238 is: 1,157,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,446 : 536,238 = 536,238 : x
  2. Step 2: Convert to fraction form
    248,446/536,238 = 536,238/x
  3. Step 3: Cross multiply
    248,446x = 536,238 × 536,238
  4. Step 4: Simplify right side
    248,446x = 287,551,192,644
  5. Step 5: Solve for x
    x = 287,551,192,644/248,446
  6. Step 6: Final answer
    x = 1,157,399.16

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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.