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Finding the Third Proportional to 258,805.13 and 397,644.19

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Solution

The third proportional to 258,805.13 and 397,644.19 is: 610,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,805.13 : 397,644.19 = 397,644.19 : x
  2. Step 2: Convert to fraction form
    258,805.13/397,644.19 = 397,644.19/x
  3. Step 3: Cross multiply
    258,805.13x = 397,644.19 × 397,644.19
  4. Step 4: Simplify right side
    258,805.13x = 158,120,899,852.54
  5. Step 5: Solve for x
    x = 158,120,899,852.54/258,805.13
  6. Step 6: Final answer
    x = 610,965.10

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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.