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Finding the Third Proportional to 226,815 and 495,138

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Solution

The third proportional to 226,815 and 495,138 is: 1,080,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,815 : 495,138 = 495,138 : x
  2. Step 2: Convert to fraction form
    226,815/495,138 = 495,138/x
  3. Step 3: Cross multiply
    226,815x = 495,138 × 495,138
  4. Step 4: Simplify right side
    226,815x = 245,161,639,044
  5. Step 5: Solve for x
    x = 245,161,639,044/226,815
  6. Step 6: Final answer
    x = 1,080,888.12

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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.