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Finding the Third Proportional to 255,887 and 541,299

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Solution

The third proportional to 255,887 and 541,299 is: 1,145,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,887 : 541,299 = 541,299 : x
  2. Step 2: Convert to fraction form
    255,887/541,299 = 541,299/x
  3. Step 3: Cross multiply
    255,887x = 541,299 × 541,299
  4. Step 4: Simplify right side
    255,887x = 293,004,607,401
  5. Step 5: Solve for x
    x = 293,004,607,401/255,887
  6. Step 6: Final answer
    x = 1,145,054.68

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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.