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Finding the Third Proportional to 269,212 and 415,050

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Solution

The third proportional to 269,212 and 415,050 is: 639,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,212 : 415,050 = 415,050 : x
  2. Step 2: Convert to fraction form
    269,212/415,050 = 415,050/x
  3. Step 3: Cross multiply
    269,212x = 415,050 × 415,050
  4. Step 4: Simplify right side
    269,212x = 172,266,502,500
  5. Step 5: Solve for x
    x = 172,266,502,500/269,212
  6. Step 6: Final answer
    x = 639,891.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.