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Finding the Third Proportional to 226,278.56 and 478,801.13

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Solution

The third proportional to 226,278.56 and 478,801.13 is: 1,013,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,278.56 : 478,801.13 = 478,801.13 : x
  2. Step 2: Convert to fraction form
    226,278.56/478,801.13 = 478,801.13/x
  3. Step 3: Cross multiply
    226,278.56x = 478,801.13 × 478,801.13
  4. Step 4: Simplify right side
    226,278.56x = 229,250,517,301.27
  5. Step 5: Solve for x
    x = 229,250,517,301.27/226,278.56
  6. Step 6: Final answer
    x = 1,013,134.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.