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Finding the Third Proportional to 304,310.50 and 445,197.50

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Solution

The third proportional to 304,310.50 and 445,197.50 is: 651,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,310.50 : 445,197.50 = 445,197.50 : x
  2. Step 2: Convert to fraction form
    304,310.50/445,197.50 = 445,197.50/x
  3. Step 3: Cross multiply
    304,310.50x = 445,197.50 × 445,197.50
  4. Step 4: Simplify right side
    304,310.50x = 198,200,814,006.25
  5. Step 5: Solve for x
    x = 198,200,814,006.25/304,310.50
  6. Step 6: Final answer
    x = 651,311.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.