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Finding the Third Proportional to 227,110 and 492,855

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Solution

The third proportional to 227,110 and 492,855 is: 1,069,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,110 : 492,855 = 492,855 : x
  2. Step 2: Convert to fraction form
    227,110/492,855 = 492,855/x
  3. Step 3: Cross multiply
    227,110x = 492,855 × 492,855
  4. Step 4: Simplify right side
    227,110x = 242,906,051,025
  5. Step 5: Solve for x
    x = 242,906,051,025/227,110
  6. Step 6: Final answer
    x = 1,069,552.42

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Why These Related Problems?

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