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Finding the Third Proportional to 303,593 and 445,548

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Solution

The third proportional to 303,593 and 445,548 is: 653,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,593 : 445,548 = 445,548 : x
  2. Step 2: Convert to fraction form
    303,593/445,548 = 445,548/x
  3. Step 3: Cross multiply
    303,593x = 445,548 × 445,548
  4. Step 4: Simplify right side
    303,593x = 198,513,020,304
  5. Step 5: Solve for x
    x = 198,513,020,304/303,593
  6. Step 6: Final answer
    x = 653,878.78

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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.