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Finding the Third Proportional to 342,035 and 742,474

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Solution

The third proportional to 342,035 and 742,474 is: 1,611,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,035 : 742,474 = 742,474 : x
  2. Step 2: Convert to fraction form
    342,035/742,474 = 742,474/x
  3. Step 3: Cross multiply
    342,035x = 742,474 × 742,474
  4. Step 4: Simplify right side
    342,035x = 551,267,640,676
  5. Step 5: Solve for x
    x = 551,267,640,676/342,035
  6. Step 6: Final answer
    x = 1,611,728.74

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Why These Related Problems?

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