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Finding the Third Proportional to 382,261.50 and 534,656.25

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Solution

The third proportional to 382,261.50 and 534,656.25 is: 747,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,261.50 : 534,656.25 = 534,656.25 : x
  2. Step 2: Convert to fraction form
    382,261.50/534,656.25 = 534,656.25/x
  3. Step 3: Cross multiply
    382,261.50x = 534,656.25 × 534,656.25
  4. Step 4: Simplify right side
    382,261.50x = 285,857,305,664.06
  5. Step 5: Solve for x
    x = 285,857,305,664.06/382,261.50
  6. Step 6: Final answer
    x = 747,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.