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Finding the Third Proportional to 229,107 and 491,262

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Solution

The third proportional to 229,107 and 491,262 is: 1,053,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,107 : 491,262 = 491,262 : x
  2. Step 2: Convert to fraction form
    229,107/491,262 = 491,262/x
  3. Step 3: Cross multiply
    229,107x = 491,262 × 491,262
  4. Step 4: Simplify right side
    229,107x = 241,338,352,644
  5. Step 5: Solve for x
    x = 241,338,352,644/229,107
  6. Step 6: Final answer
    x = 1,053,387.08

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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.