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Finding the Third Proportional to 333,910 and 742,466

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Solution

The third proportional to 333,910 and 742,466 is: 1,650,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,910 : 742,466 = 742,466 : x
  2. Step 2: Convert to fraction form
    333,910/742,466 = 742,466/x
  3. Step 3: Cross multiply
    333,910x = 742,466 × 742,466
  4. Step 4: Simplify right side
    333,910x = 551,255,761,156
  5. Step 5: Solve for x
    x = 551,255,761,156/333,910
  6. Step 6: Final answer
    x = 1,650,911.21

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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.