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Finding the Third Proportional to 258,934 and 401,841

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Solution

The third proportional to 258,934 and 401,841 is: 623,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,934 : 401,841 = 401,841 : x
  2. Step 2: Convert to fraction form
    258,934/401,841 = 401,841/x
  3. Step 3: Cross multiply
    258,934x = 401,841 × 401,841
  4. Step 4: Simplify right side
    258,934x = 161,476,189,281
  5. Step 5: Solve for x
    x = 161,476,189,281/258,934
  6. Step 6: Final answer
    x = 623,619.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.