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Finding the Third Proportional to 330,816.75 and 717,645

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Solution

The third proportional to 330,816.75 and 717,645 is: 1,556,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,816.75 : 717,645 = 717,645 : x
  2. Step 2: Convert to fraction form
    330,816.75/717,645 = 717,645/x
  3. Step 3: Cross multiply
    330,816.75x = 717,645 × 717,645
  4. Step 4: Simplify right side
    330,816.75x = 515,014,346,025
  5. Step 5: Solve for x
    x = 515,014,346,025/330,816.75
  6. Step 6: Final answer
    x = 1,556,796.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.