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Finding the Third Proportional to 342,756.56 and 742,716.84

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Solution

The third proportional to 342,756.56 and 742,716.84 is: 1,609,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,756.56 : 742,716.84 = 742,716.84 : x
  2. Step 2: Convert to fraction form
    342,756.56/742,716.84 = 742,716.84/x
  3. Step 3: Cross multiply
    342,756.56x = 742,716.84 × 742,716.84
  4. Step 4: Simplify right side
    342,756.56x = 551,628,309,989.96
  5. Step 5: Solve for x
    x = 551,628,309,989.96/342,756.56
  6. Step 6: Final answer
    x = 1,609,388.03

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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.