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Finding the Third Proportional to 207,739.50 and 453,910.50

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Solution

The third proportional to 207,739.50 and 453,910.50 is: 991,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,739.50 : 453,910.50 = 453,910.50 : x
  2. Step 2: Convert to fraction form
    207,739.50/453,910.50 = 453,910.50/x
  3. Step 3: Cross multiply
    207,739.50x = 453,910.50 × 453,910.50
  4. Step 4: Simplify right side
    207,739.50x = 206,034,742,010.25
  5. Step 5: Solve for x
    x = 206,034,742,010.25/207,739.50
  6. Step 6: Final answer
    x = 991,793.77

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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.