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Finding the Third Proportional to 334,300.50 and 681,561

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Solution

The third proportional to 334,300.50 and 681,561 is: 1,389,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,300.50 : 681,561 = 681,561 : x
  2. Step 2: Convert to fraction form
    334,300.50/681,561 = 681,561/x
  3. Step 3: Cross multiply
    334,300.50x = 681,561 × 681,561
  4. Step 4: Simplify right side
    334,300.50x = 464,525,396,721
  5. Step 5: Solve for x
    x = 464,525,396,721/334,300.50
  6. Step 6: Final answer
    x = 1,389,544.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.