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Finding the Third Proportional to 303,040 and 451,931

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Solution

The third proportional to 303,040 and 451,931 is: 673,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,040 : 451,931 = 451,931 : x
  2. Step 2: Convert to fraction form
    303,040/451,931 = 451,931/x
  3. Step 3: Cross multiply
    303,040x = 451,931 × 451,931
  4. Step 4: Simplify right side
    303,040x = 204,241,628,761
  5. Step 5: Solve for x
    x = 204,241,628,761/303,040
  6. Step 6: Final answer
    x = 673,975.81

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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.