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Finding the Third Proportional to 255,904 and 541,336

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Solution

The third proportional to 255,904 and 541,336 is: 1,145,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904 : 541,336 = 541,336 : x
  2. Step 2: Convert to fraction form
    255,904/541,336 = 541,336/x
  3. Step 3: Cross multiply
    255,904x = 541,336 × 541,336
  4. Step 4: Simplify right side
    255,904x = 293,044,664,896
  5. Step 5: Solve for x
    x = 293,044,664,896/255,904
  6. Step 6: Final answer
    x = 1,145,135.15

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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.