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Finding the Third Proportional to 227,062.41 and 535,249.69

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Solution

The third proportional to 227,062.41 and 535,249.69 is: 1,261,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,062.41 : 535,249.69 = 535,249.69 : x
  2. Step 2: Convert to fraction form
    227,062.41/535,249.69 = 535,249.69/x
  3. Step 3: Cross multiply
    227,062.41x = 535,249.69 × 535,249.69
  4. Step 4: Simplify right side
    227,062.41x = 286,492,227,968.85
  5. Step 5: Solve for x
    x = 286,492,227,968.85/227,062.41
  6. Step 6: Final answer
    x = 1,261,733.43

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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.