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Finding the Third Proportional to 256,522 and 565,568

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Solution

The third proportional to 256,522 and 565,568 is: 1,246,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,522 : 565,568 = 565,568 : x
  2. Step 2: Convert to fraction form
    256,522/565,568 = 565,568/x
  3. Step 3: Cross multiply
    256,522x = 565,568 × 565,568
  4. Step 4: Simplify right side
    256,522x = 319,867,162,624
  5. Step 5: Solve for x
    x = 319,867,162,624/256,522
  6. Step 6: Final answer
    x = 1,246,938.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.