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Finding the Third Proportional to 295,786.50 and 443,535.75

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Solution

The third proportional to 295,786.50 and 443,535.75 is: 665,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,786.50 : 443,535.75 = 443,535.75 : x
  2. Step 2: Convert to fraction form
    295,786.50/443,535.75 = 443,535.75/x
  3. Step 3: Cross multiply
    295,786.50x = 443,535.75 × 443,535.75
  4. Step 4: Simplify right side
    295,786.50x = 196,723,961,528.06
  5. Step 5: Solve for x
    x = 196,723,961,528.06/295,786.50
  6. Step 6: Final answer
    x = 665,087.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.