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Finding the Third Proportional to 333,839 and 742,311

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Solution

The third proportional to 333,839 and 742,311 is: 1,650,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,839 : 742,311 = 742,311 : x
  2. Step 2: Convert to fraction form
    333,839/742,311 = 742,311/x
  3. Step 3: Cross multiply
    333,839x = 742,311 × 742,311
  4. Step 4: Simplify right side
    333,839x = 551,025,620,721
  5. Step 5: Solve for x
    x = 551,025,620,721/333,839
  6. Step 6: Final answer
    x = 1,650,572.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.