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Finding the Third Proportional to 342,694 and 742,594

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Solution

The third proportional to 342,694 and 742,594 is: 1,609,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,694 : 742,594 = 742,594 : x
  2. Step 2: Convert to fraction form
    342,694/742,594 = 742,594/x
  3. Step 3: Cross multiply
    342,694x = 742,594 × 742,594
  4. Step 4: Simplify right side
    342,694x = 551,445,848,836
  5. Step 5: Solve for x
    x = 551,445,848,836/342,694
  6. Step 6: Final answer
    x = 1,609,149.41

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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.