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Finding the Third Proportional to 262,450.13 and 405,278.44

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Solution

The third proportional to 262,450.13 and 405,278.44 is: 625,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,450.13 : 405,278.44 = 405,278.44 : x
  2. Step 2: Convert to fraction form
    262,450.13/405,278.44 = 405,278.44/x
  3. Step 3: Cross multiply
    262,450.13x = 405,278.44 × 405,278.44
  4. Step 4: Simplify right side
    262,450.13x = 164,250,611,902.44
  5. Step 5: Solve for x
    x = 164,250,611,902.44/262,450.13
  6. Step 6: Final answer
    x = 625,835.53

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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.