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Finding the Third Proportional to 227,062.50 and 535,249

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Solution

The third proportional to 227,062.50 and 535,249 is: 1,261,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,062.50 : 535,249 = 535,249 : x
  2. Step 2: Convert to fraction form
    227,062.50/535,249 = 535,249/x
  3. Step 3: Cross multiply
    227,062.50x = 535,249 × 535,249
  4. Step 4: Simplify right side
    227,062.50x = 286,491,492,001
  5. Step 5: Solve for x
    x = 286,491,492,001/227,062.50
  6. Step 6: Final answer
    x = 1,261,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.