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Finding the Third Proportional to 269,098 and 566,077

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Solution

The third proportional to 269,098 and 566,077 is: 1,190,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,098 : 566,077 = 566,077 : x
  2. Step 2: Convert to fraction form
    269,098/566,077 = 566,077/x
  3. Step 3: Cross multiply
    269,098x = 566,077 × 566,077
  4. Step 4: Simplify right side
    269,098x = 320,443,169,929
  5. Step 5: Solve for x
    x = 320,443,169,929/269,098
  6. Step 6: Final answer
    x = 1,190,804.73

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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.