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Finding the Third Proportional to 387,761 and 568,125

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Solution

The third proportional to 387,761 and 568,125 is: 832,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,761 : 568,125 = 568,125 : x
  2. Step 2: Convert to fraction form
    387,761/568,125 = 568,125/x
  3. Step 3: Cross multiply
    387,761x = 568,125 × 568,125
  4. Step 4: Simplify right side
    387,761x = 322,766,015,625
  5. Step 5: Solve for x
    x = 322,766,015,625/387,761
  6. Step 6: Final answer
    x = 832,383.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.