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Finding the Third Proportional to 226,786 and 495,018

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Solution

The third proportional to 226,786 and 495,018 is: 1,080,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,786 : 495,018 = 495,018 : x
  2. Step 2: Convert to fraction form
    226,786/495,018 = 495,018/x
  3. Step 3: Cross multiply
    226,786x = 495,018 × 495,018
  4. Step 4: Simplify right side
    226,786x = 245,042,820,324
  5. Step 5: Solve for x
    x = 245,042,820,324/226,786
  6. Step 6: Final answer
    x = 1,080,502.41

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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.