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Finding the Third Proportional to 333,560.53 and 717,776.44

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Solution

The third proportional to 333,560.53 and 717,776.44 is: 1,544,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,560.53 : 717,776.44 = 717,776.44 : x
  2. Step 2: Convert to fraction form
    333,560.53/717,776.44 = 717,776.44/x
  3. Step 3: Cross multiply
    333,560.53x = 717,776.44 × 717,776.44
  4. Step 4: Simplify right side
    333,560.53x = 515,203,014,230.19
  5. Step 5: Solve for x
    x = 515,203,014,230.19/333,560.53
  6. Step 6: Final answer
    x = 1,544,556.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.