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Finding the Third Proportional to 340,096 and 742,361

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Solution

The third proportional to 340,096 and 742,361 is: 1,620,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,096 : 742,361 = 742,361 : x
  2. Step 2: Convert to fraction form
    340,096/742,361 = 742,361/x
  3. Step 3: Cross multiply
    340,096x = 742,361 × 742,361
  4. Step 4: Simplify right side
    340,096x = 551,099,854,321
  5. Step 5: Solve for x
    x = 551,099,854,321/340,096
  6. Step 6: Final answer
    x = 1,620,424.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.