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Finding the Third Proportional to 247,274 and 533,968

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Solution

The third proportional to 247,274 and 533,968 is: 1,153,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,274 : 533,968 = 533,968 : x
  2. Step 2: Convert to fraction form
    247,274/533,968 = 533,968/x
  3. Step 3: Cross multiply
    247,274x = 533,968 × 533,968
  4. Step 4: Simplify right side
    247,274x = 285,121,825,024
  5. Step 5: Solve for x
    x = 285,121,825,024/247,274
  6. Step 6: Final answer
    x = 1,153,060.27

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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.