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Finding the Third Proportional to 311,707.50 and 681,733.50

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Solution

The third proportional to 311,707.50 and 681,733.50 is: 1,491,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,707.50 : 681,733.50 = 681,733.50 : x
  2. Step 2: Convert to fraction form
    311,707.50/681,733.50 = 681,733.50/x
  3. Step 3: Cross multiply
    311,707.50x = 681,733.50 × 681,733.50
  4. Step 4: Simplify right side
    311,707.50x = 464,760,565,022.25
  5. Step 5: Solve for x
    x = 464,760,565,022.25/311,707.50
  6. Step 6: Final answer
    x = 1,491,015.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.