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Finding the Third Proportional to 303,098 and 475,491

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Solution

The third proportional to 303,098 and 475,491 is: 745,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,098 : 475,491 = 475,491 : x
  2. Step 2: Convert to fraction form
    303,098/475,491 = 475,491/x
  3. Step 3: Cross multiply
    303,098x = 475,491 × 475,491
  4. Step 4: Simplify right side
    303,098x = 226,091,691,081
  5. Step 5: Solve for x
    x = 226,091,691,081/303,098
  6. Step 6: Final answer
    x = 745,935.94

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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.