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Finding the Third Proportional to 226,437.19 and 488,346.05

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Solution

The third proportional to 226,437.19 and 488,346.05 is: 1,053,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,437.19 : 488,346.05 = 488,346.05 : x
  2. Step 2: Convert to fraction form
    226,437.19/488,346.05 = 488,346.05/x
  3. Step 3: Cross multiply
    226,437.19x = 488,346.05 × 488,346.05
  4. Step 4: Simplify right side
    226,437.19x = 238,481,861,498.44
  5. Step 5: Solve for x
    x = 238,481,861,498.44/226,437.19
  6. Step 6: Final answer
    x = 1,053,192.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.