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Finding the Third Proportional to 303,536.25 and 445,462.88

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Solution

The third proportional to 303,536.25 and 445,462.88 is: 653,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,536.25 : 445,462.88 = 445,462.88 : x
  2. Step 2: Convert to fraction form
    303,536.25/445,462.88 = 445,462.88/x
  3. Step 3: Cross multiply
    303,536.25x = 445,462.88 × 445,462.88
  4. Step 4: Simplify right side
    303,536.25x = 198,437,173,003.27
  5. Step 5: Solve for x
    x = 198,437,173,003.27/303,536.25
  6. Step 6: Final answer
    x = 653,751.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.