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Finding the Third Proportional to 229,059 and 492,021

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Solution

The third proportional to 229,059 and 492,021 is: 1,056,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,059 : 492,021 = 492,021 : x
  2. Step 2: Convert to fraction form
    229,059/492,021 = 492,021/x
  3. Step 3: Cross multiply
    229,059x = 492,021 × 492,021
  4. Step 4: Simplify right side
    229,059x = 242,084,664,441
  5. Step 5: Solve for x
    x = 242,084,664,441/229,059
  6. Step 6: Final answer
    x = 1,056,865.98

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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.