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Finding the Third Proportional to 226,918.13 and 498,115.13

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Solution

The third proportional to 226,918.13 and 498,115.13 is: 1,093,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,918.13 : 498,115.13 = 498,115.13 : x
  2. Step 2: Convert to fraction form
    226,918.13/498,115.13 = 498,115.13/x
  3. Step 3: Cross multiply
    226,918.13x = 498,115.13 × 498,115.13
  4. Step 4: Simplify right side
    226,918.13x = 248,118,677,753.77
  5. Step 5: Solve for x
    x = 248,118,677,753.77/226,918.13
  6. Step 6: Final answer
    x = 1,093,428.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.