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Finding the Third Proportional to 229,202 and 492,262

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Solution

The third proportional to 229,202 and 492,262 is: 1,057,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,202 : 492,262 = 492,262 : x
  2. Step 2: Convert to fraction form
    229,202/492,262 = 492,262/x
  3. Step 3: Cross multiply
    229,202x = 492,262 × 492,262
  4. Step 4: Simplify right side
    229,202x = 242,321,876,644
  5. Step 5: Solve for x
    x = 242,321,876,644/229,202
  6. Step 6: Final answer
    x = 1,057,241.55

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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.