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Finding the Third Proportional to 260,803.50 and 445,849.50

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Solution

The third proportional to 260,803.50 and 445,849.50 is: 762,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,803.50 : 445,849.50 = 445,849.50 : x
  2. Step 2: Convert to fraction form
    260,803.50/445,849.50 = 445,849.50/x
  3. Step 3: Cross multiply
    260,803.50x = 445,849.50 × 445,849.50
  4. Step 4: Simplify right side
    260,803.50x = 198,781,776,650.25
  5. Step 5: Solve for x
    x = 198,781,776,650.25/260,803.50
  6. Step 6: Final answer
    x = 762,189.84

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.