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Finding the Third Proportional to 296,581.50 and 363,649.50

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Solution

The third proportional to 296,581.50 and 363,649.50 is: 445,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,581.50 : 363,649.50 = 363,649.50 : x
  2. Step 2: Convert to fraction form
    296,581.50/363,649.50 = 363,649.50/x
  3. Step 3: Cross multiply
    296,581.50x = 363,649.50 × 363,649.50
  4. Step 4: Simplify right side
    296,581.50x = 132,240,958,850.25
  5. Step 5: Solve for x
    x = 132,240,958,850.25/296,581.50
  6. Step 6: Final answer
    x = 445,884.04

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.