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Finding the Third Proportional to 401,361.75 and 550,374.75

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Solution

The third proportional to 401,361.75 and 550,374.75 is: 754,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,361.75 : 550,374.75 = 550,374.75 : x
  2. Step 2: Convert to fraction form
    401,361.75/550,374.75 = 550,374.75/x
  3. Step 3: Cross multiply
    401,361.75x = 550,374.75 × 550,374.75
  4. Step 4: Simplify right side
    401,361.75x = 302,912,365,437.56
  5. Step 5: Solve for x
    x = 302,912,365,437.56/401,361.75
  6. Step 6: Final answer
    x = 754,711.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.