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Finding the Third Proportional to 342,764 and 742,734

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Solution

The third proportional to 342,764 and 742,734 is: 1,609,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,764 : 742,734 = 742,734 : x
  2. Step 2: Convert to fraction form
    342,764/742,734 = 742,734/x
  3. Step 3: Cross multiply
    342,764x = 742,734 × 742,734
  4. Step 4: Simplify right side
    342,764x = 551,653,794,756
  5. Step 5: Solve for x
    x = 551,653,794,756/342,764
  6. Step 6: Final answer
    x = 1,609,427.46

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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.