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Finding the Third Proportional to 226,782 and 492,930

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Solution

The third proportional to 226,782 and 492,930 is: 1,071,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,782 : 492,930 = 492,930 : x
  2. Step 2: Convert to fraction form
    226,782/492,930 = 492,930/x
  3. Step 3: Cross multiply
    226,782x = 492,930 × 492,930
  4. Step 4: Simplify right side
    226,782x = 242,979,984,900
  5. Step 5: Solve for x
    x = 242,979,984,900/226,782
  6. Step 6: Final answer
    x = 1,071,425.36

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