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Finding the Third Proportional to 203,895 and 479,725

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Solution

The third proportional to 203,895 and 479,725 is: 1,128,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,895 : 479,725 = 479,725 : x
  2. Step 2: Convert to fraction form
    203,895/479,725 = 479,725/x
  3. Step 3: Cross multiply
    203,895x = 479,725 × 479,725
  4. Step 4: Simplify right side
    203,895x = 230,136,075,625
  5. Step 5: Solve for x
    x = 230,136,075,625/203,895
  6. Step 6: Final answer
    x = 1,128,698.97

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.