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Finding the Third Proportional to 289,716.75 and 443,188.13

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Solution

The third proportional to 289,716.75 and 443,188.13 is: 677,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,716.75 : 443,188.13 = 443,188.13 : x
  2. Step 2: Convert to fraction form
    289,716.75/443,188.13 = 443,188.13/x
  3. Step 3: Cross multiply
    289,716.75x = 443,188.13 × 443,188.13
  4. Step 4: Simplify right side
    289,716.75x = 196,415,714,141.02
  5. Step 5: Solve for x
    x = 196,415,714,141.02/289,716.75
  6. Step 6: Final answer
    x = 677,957.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.