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Finding the Third Proportional to 230,947 and 496,274

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Solution

The third proportional to 230,947 and 496,274 is: 1,066,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,947 : 496,274 = 496,274 : x
  2. Step 2: Convert to fraction form
    230,947/496,274 = 496,274/x
  3. Step 3: Cross multiply
    230,947x = 496,274 × 496,274
  4. Step 4: Simplify right side
    230,947x = 246,287,883,076
  5. Step 5: Solve for x
    x = 246,287,883,076/230,947
  6. Step 6: Final answer
    x = 1,066,425.99

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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.