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Finding the Third Proportional to 269,060 and 566,005

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Solution

The third proportional to 269,060 and 566,005 is: 1,190,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,060 : 566,005 = 566,005 : x
  2. Step 2: Convert to fraction form
    269,060/566,005 = 566,005/x
  3. Step 3: Cross multiply
    269,060x = 566,005 × 566,005
  4. Step 4: Simplify right side
    269,060x = 320,361,660,025
  5. Step 5: Solve for x
    x = 320,361,660,025/269,060
  6. Step 6: Final answer
    x = 1,190,669.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.