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Finding the Third Proportional to 342,673 and 742,551

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Solution

The third proportional to 342,673 and 742,551 is: 1,609,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,673 : 742,551 = 742,551 : x
  2. Step 2: Convert to fraction form
    342,673/742,551 = 742,551/x
  3. Step 3: Cross multiply
    342,673x = 742,551 × 742,551
  4. Step 4: Simplify right side
    342,673x = 551,381,987,601
  5. Step 5: Solve for x
    x = 551,381,987,601/342,673
  6. Step 6: Final answer
    x = 1,609,061.66

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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.