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Finding the Third Proportional to 226,830 and 495,108

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Solution

The third proportional to 226,830 and 495,108 is: 1,080,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,830 : 495,108 = 495,108 : x
  2. Step 2: Convert to fraction form
    226,830/495,108 = 495,108/x
  3. Step 3: Cross multiply
    226,830x = 495,108 × 495,108
  4. Step 4: Simplify right side
    226,830x = 245,131,931,664
  5. Step 5: Solve for x
    x = 245,131,931,664/226,830
  6. Step 6: Final answer
    x = 1,080,685.68

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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.