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Finding the Third Proportional to 227,422.69 and 495,325.13

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Solution

The third proportional to 227,422.69 and 495,325.13 is: 1,078,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,422.69 : 495,325.13 = 495,325.13 : x
  2. Step 2: Convert to fraction form
    227,422.69/495,325.13 = 495,325.13/x
  3. Step 3: Cross multiply
    227,422.69x = 495,325.13 × 495,325.13
  4. Step 4: Simplify right side
    227,422.69x = 245,346,979,456.27
  5. Step 5: Solve for x
    x = 245,346,979,456.27/227,422.69
  6. Step 6: Final answer
    x = 1,078,814.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.