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Finding the Third Proportional to 300,030 and 422,029

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Solution

The third proportional to 300,030 and 422,029 is: 593,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,030 : 422,029 = 422,029 : x
  2. Step 2: Convert to fraction form
    300,030/422,029 = 422,029/x
  3. Step 3: Cross multiply
    300,030x = 422,029 × 422,029
  4. Step 4: Simplify right side
    300,030x = 178,108,476,841
  5. Step 5: Solve for x
    x = 178,108,476,841/300,030
  6. Step 6: Final answer
    x = 593,635.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.