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Finding the Third Proportional to 226,372 and 495,944

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Solution

The third proportional to 226,372 and 495,944 is: 1,086,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,372 : 495,944 = 495,944 : x
  2. Step 2: Convert to fraction form
    226,372/495,944 = 495,944/x
  3. Step 3: Cross multiply
    226,372x = 495,944 × 495,944
  4. Step 4: Simplify right side
    226,372x = 245,960,451,136
  5. Step 5: Solve for x
    x = 245,960,451,136/226,372
  6. Step 6: Final answer
    x = 1,086,532.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.