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Finding the Third Proportional to 303,557.63 and 445,494.94

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Solution

The third proportional to 303,557.63 and 445,494.94 is: 653,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,557.63 : 445,494.94 = 445,494.94 : x
  2. Step 2: Convert to fraction form
    303,557.63/445,494.94 = 445,494.94/x
  3. Step 3: Cross multiply
    303,557.63x = 445,494.94 × 445,494.94
  4. Step 4: Simplify right side
    303,557.63x = 198,465,739,338.13
  5. Step 5: Solve for x
    x = 198,465,739,338.13/303,557.63
  6. Step 6: Final answer
    x = 653,799.22

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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.