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Finding the Third Proportional to 264,086 and 565,568

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Solution

The third proportional to 264,086 and 565,568 is: 1,211,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,086 : 565,568 = 565,568 : x
  2. Step 2: Convert to fraction form
    264,086/565,568 = 565,568/x
  3. Step 3: Cross multiply
    264,086x = 565,568 × 565,568
  4. Step 4: Simplify right side
    264,086x = 319,867,162,624
  5. Step 5: Solve for x
    x = 319,867,162,624/264,086
  6. Step 6: Final answer
    x = 1,211,223.48

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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.