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Finding the Third Proportional to 229,450 and 492,116

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Solution

The third proportional to 229,450 and 492,116 is: 1,055,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,450 : 492,116 = 492,116 : x
  2. Step 2: Convert to fraction form
    229,450/492,116 = 492,116/x
  3. Step 3: Cross multiply
    229,450x = 492,116 × 492,116
  4. Step 4: Simplify right side
    229,450x = 242,178,157,456
  5. Step 5: Solve for x
    x = 242,178,157,456/229,450
  6. Step 6: Final answer
    x = 1,055,472.47

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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.