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Finding the Third Proportional to 229,206 and 492,268

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Solution

The third proportional to 229,206 and 492,268 is: 1,057,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,206 : 492,268 = 492,268 : x
  2. Step 2: Convert to fraction form
    229,206/492,268 = 492,268/x
  3. Step 3: Cross multiply
    229,206x = 492,268 × 492,268
  4. Step 4: Simplify right side
    229,206x = 242,327,783,824
  5. Step 5: Solve for x
    x = 242,327,783,824/229,206
  6. Step 6: Final answer
    x = 1,057,248.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.