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Finding the Third Proportional to 333,936 and 742,512

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Solution

The third proportional to 333,936 and 742,512 is: 1,650,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,936 : 742,512 = 742,512 : x
  2. Step 2: Convert to fraction form
    333,936/742,512 = 742,512/x
  3. Step 3: Cross multiply
    333,936x = 742,512 × 742,512
  4. Step 4: Simplify right side
    333,936x = 551,324,070,144
  5. Step 5: Solve for x
    x = 551,324,070,144/333,936
  6. Step 6: Final answer
    x = 1,650,987.23

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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.