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Finding the Third Proportional to 334,755 and 735,849

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Solution

The third proportional to 334,755 and 735,849 is: 1,617,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,755 : 735,849 = 735,849 : x
  2. Step 2: Convert to fraction form
    334,755/735,849 = 735,849/x
  3. Step 3: Cross multiply
    334,755x = 735,849 × 735,849
  4. Step 4: Simplify right side
    334,755x = 541,473,750,801
  5. Step 5: Solve for x
    x = 541,473,750,801/334,755
  6. Step 6: Final answer
    x = 1,617,522.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.