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Finding the Third Proportional to 248,996 and 534,277

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Solution

The third proportional to 248,996 and 534,277 is: 1,146,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,996 : 534,277 = 534,277 : x
  2. Step 2: Convert to fraction form
    248,996/534,277 = 534,277/x
  3. Step 3: Cross multiply
    248,996x = 534,277 × 534,277
  4. Step 4: Simplify right side
    248,996x = 285,451,912,729
  5. Step 5: Solve for x
    x = 285,451,912,729/248,996
  6. Step 6: Final answer
    x = 1,146,411.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.