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Finding the Third Proportional to 303,038 and 451,928

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Solution

The third proportional to 303,038 and 451,928 is: 673,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,038 : 451,928 = 451,928 : x
  2. Step 2: Convert to fraction form
    303,038/451,928 = 451,928/x
  3. Step 3: Cross multiply
    303,038x = 451,928 × 451,928
  4. Step 4: Simplify right side
    303,038x = 204,238,917,184
  5. Step 5: Solve for x
    x = 204,238,917,184/303,038
  6. Step 6: Final answer
    x = 673,971.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.