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Finding the Third Proportional to 255,896 and 541,320

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Solution

The third proportional to 255,896 and 541,320 is: 1,145,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,896 : 541,320 = 541,320 : x
  2. Step 2: Convert to fraction form
    255,896/541,320 = 541,320/x
  3. Step 3: Cross multiply
    255,896x = 541,320 × 541,320
  4. Step 4: Simplify right side
    255,896x = 293,027,342,400
  5. Step 5: Solve for x
    x = 293,027,342,400/255,896
  6. Step 6: Final answer
    x = 1,145,103.25

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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.