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Finding the Third Proportional to 334,737 and 735,813

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Solution

The third proportional to 334,737 and 735,813 is: 1,617,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,737 : 735,813 = 735,813 : x
  2. Step 2: Convert to fraction form
    334,737/735,813 = 735,813/x
  3. Step 3: Cross multiply
    334,737x = 735,813 × 735,813
  4. Step 4: Simplify right side
    334,737x = 541,420,770,969
  5. Step 5: Solve for x
    x = 541,420,770,969/334,737
  6. Step 6: Final answer
    x = 1,617,451.23

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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.