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Finding the Third Proportional to 227,296 and 485,888

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Solution

The third proportional to 227,296 and 485,888 is: 1,038,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,296 : 485,888 = 485,888 : x
  2. Step 2: Convert to fraction form
    227,296/485,888 = 485,888/x
  3. Step 3: Cross multiply
    227,296x = 485,888 × 485,888
  4. Step 4: Simplify right side
    227,296x = 236,087,148,544
  5. Step 5: Solve for x
    x = 236,087,148,544/227,296
  6. Step 6: Final answer
    x = 1,038,677.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.