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Finding the Third Proportional to 256,450 and 560,102

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Solution

The third proportional to 256,450 and 560,102 is: 1,223,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,450 : 560,102 = 560,102 : x
  2. Step 2: Convert to fraction form
    256,450/560,102 = 560,102/x
  3. Step 3: Cross multiply
    256,450x = 560,102 × 560,102
  4. Step 4: Simplify right side
    256,450x = 313,714,250,404
  5. Step 5: Solve for x
    x = 313,714,250,404/256,450
  6. Step 6: Final answer
    x = 1,223,295.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.