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Finding the Third Proportional to 335,682 and 730,390

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Solution

The third proportional to 335,682 and 730,390 is: 1,589,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,682 : 730,390 = 730,390 : x
  2. Step 2: Convert to fraction form
    335,682/730,390 = 730,390/x
  3. Step 3: Cross multiply
    335,682x = 730,390 × 730,390
  4. Step 4: Simplify right side
    335,682x = 533,469,552,100
  5. Step 5: Solve for x
    x = 533,469,552,100/335,682
  6. Step 6: Final answer
    x = 1,589,211.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.