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Finding the Third Proportional to 258,609 and 397,363.50

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Solution

The third proportional to 258,609 and 397,363.50 is: 610,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,609 : 397,363.50 = 397,363.50 : x
  2. Step 2: Convert to fraction form
    258,609/397,363.50 = 397,363.50/x
  3. Step 3: Cross multiply
    258,609x = 397,363.50 × 397,363.50
  4. Step 4: Simplify right side
    258,609x = 157,897,751,132.25
  5. Step 5: Solve for x
    x = 157,897,751,132.25/258,609
  6. Step 6: Final answer
    x = 610,565.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.