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Finding the Third Proportional to 266,343 and 565,734

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Solution

The third proportional to 266,343 and 565,734 is: 1,201,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,343 : 565,734 = 565,734 : x
  2. Step 2: Convert to fraction form
    266,343/565,734 = 565,734/x
  3. Step 3: Cross multiply
    266,343x = 565,734 × 565,734
  4. Step 4: Simplify right side
    266,343x = 320,054,958,756
  5. Step 5: Solve for x
    x = 320,054,958,756/266,343
  6. Step 6: Final answer
    x = 1,201,664.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.