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Finding the Third Proportional to 258,523 and 372,349

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Solution

The third proportional to 258,523 and 372,349 is: 536,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,523 : 372,349 = 372,349 : x
  2. Step 2: Convert to fraction form
    258,523/372,349 = 372,349/x
  3. Step 3: Cross multiply
    258,523x = 372,349 × 372,349
  4. Step 4: Simplify right side
    258,523x = 138,643,777,801
  5. Step 5: Solve for x
    x = 138,643,777,801/258,523
  6. Step 6: Final answer
    x = 536,291.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.