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Finding the Third Proportional to 258,256 and 558,009

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Solution

The third proportional to 258,256 and 558,009 is: 1,205,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,256 : 558,009 = 558,009 : x
  2. Step 2: Convert to fraction form
    258,256/558,009 = 558,009/x
  3. Step 3: Cross multiply
    258,256x = 558,009 × 558,009
  4. Step 4: Simplify right side
    258,256x = 311,374,044,081
  5. Step 5: Solve for x
    x = 311,374,044,081/258,256
  6. Step 6: Final answer
    x = 1,205,679.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.