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Finding the Third Proportional to 248,431 and 536,228

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Solution

The third proportional to 248,431 and 536,228 is: 1,157,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,431 : 536,228 = 536,228 : x
  2. Step 2: Convert to fraction form
    248,431/536,228 = 536,228/x
  3. Step 3: Cross multiply
    248,431x = 536,228 × 536,228
  4. Step 4: Simplify right side
    248,431x = 287,540,467,984
  5. Step 5: Solve for x
    x = 287,540,467,984/248,431
  6. Step 6: Final answer
    x = 1,157,425.88

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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.