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Finding the Third Proportional to 334,694 and 735,727

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Solution

The third proportional to 334,694 and 735,727 is: 1,617,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,694 : 735,727 = 735,727 : x
  2. Step 2: Convert to fraction form
    334,694/735,727 = 735,727/x
  3. Step 3: Cross multiply
    334,694x = 735,727 × 735,727
  4. Step 4: Simplify right side
    334,694x = 541,294,218,529
  5. Step 5: Solve for x
    x = 541,294,218,529/334,694
  6. Step 6: Final answer
    x = 1,617,280.91

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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.