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Finding the Third Proportional to 342,674 and 742,552

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Solution

The third proportional to 342,674 and 742,552 is: 1,609,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,674 : 742,552 = 742,552 : x
  2. Step 2: Convert to fraction form
    342,674/742,552 = 742,552/x
  3. Step 3: Cross multiply
    342,674x = 742,552 × 742,552
  4. Step 4: Simplify right side
    342,674x = 551,383,472,704
  5. Step 5: Solve for x
    x = 551,383,472,704/342,674
  6. Step 6: Final answer
    x = 1,609,061.30

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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.