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Finding the Third Proportional to 303,147 and 475,548

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Solution

The third proportional to 303,147 and 475,548 is: 745,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,147 : 475,548 = 475,548 : x
  2. Step 2: Convert to fraction form
    303,147/475,548 = 475,548/x
  3. Step 3: Cross multiply
    303,147x = 475,548 × 475,548
  4. Step 4: Simplify right side
    303,147x = 226,145,900,304
  5. Step 5: Solve for x
    x = 226,145,900,304/303,147
  6. Step 6: Final answer
    x = 745,994.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.