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Finding the Third Proportional to 342,674.75 and 742,552.75

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Solution

The third proportional to 342,674.75 and 742,552.75 is: 1,609,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,674.75 : 742,552.75 = 742,552.75 : x
  2. Step 2: Convert to fraction form
    342,674.75/742,552.75 = 742,552.75/x
  3. Step 3: Cross multiply
    342,674.75x = 742,552.75 × 742,552.75
  4. Step 4: Simplify right side
    342,674.75x = 551,384,586,532.56
  5. Step 5: Solve for x
    x = 551,384,586,532.56/342,674.75
  6. Step 6: Final answer
    x = 1,609,061.03

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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.