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Finding the Third Proportional to 300,606 and 466,097

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Solution

The third proportional to 300,606 and 466,097 is: 722,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,606 : 466,097 = 466,097 : x
  2. Step 2: Convert to fraction form
    300,606/466,097 = 466,097/x
  3. Step 3: Cross multiply
    300,606x = 466,097 × 466,097
  4. Step 4: Simplify right side
    300,606x = 217,246,413,409
  5. Step 5: Solve for x
    x = 217,246,413,409/300,606
  6. Step 6: Final answer
    x = 722,694.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.