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Finding the Third Proportional to 226,395 and 492,102

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Solution

The third proportional to 226,395 and 492,102 is: 1,069,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,395 : 492,102 = 492,102 : x
  2. Step 2: Convert to fraction form
    226,395/492,102 = 492,102/x
  3. Step 3: Cross multiply
    226,395x = 492,102 × 492,102
  4. Step 4: Simplify right side
    226,395x = 242,164,378,404
  5. Step 5: Solve for x
    x = 242,164,378,404/226,395
  6. Step 6: Final answer
    x = 1,069,654.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.