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Finding the Third Proportional to 303,538 and 437,258

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Solution

The third proportional to 303,538 and 437,258 is: 629,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,538 : 437,258 = 437,258 : x
  2. Step 2: Convert to fraction form
    303,538/437,258 = 437,258/x
  3. Step 3: Cross multiply
    303,538x = 437,258 × 437,258
  4. Step 4: Simplify right side
    303,538x = 191,194,558,564
  5. Step 5: Solve for x
    x = 191,194,558,564/303,538
  6. Step 6: Final answer
    x = 629,886.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.