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Finding the Third Proportional to 342,761 and 742,725

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Solution

The third proportional to 342,761 and 742,725 is: 1,609,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,761 : 742,725 = 742,725 : x
  2. Step 2: Convert to fraction form
    342,761/742,725 = 742,725/x
  3. Step 3: Cross multiply
    342,761x = 742,725 × 742,725
  4. Step 4: Simplify right side
    342,761x = 551,640,425,625
  5. Step 5: Solve for x
    x = 551,640,425,625/342,761
  6. Step 6: Final answer
    x = 1,609,402.54

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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.