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Finding the Third Proportional to 300,753 and 658,914

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Solution

The third proportional to 300,753 and 658,914 is: 1,443,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753 : 658,914 = 658,914 : x
  2. Step 2: Convert to fraction form
    300,753/658,914 = 658,914/x
  3. Step 3: Cross multiply
    300,753x = 658,914 × 658,914
  4. Step 4: Simplify right side
    300,753x = 434,167,659,396
  5. Step 5: Solve for x
    x = 434,167,659,396/300,753
  6. Step 6: Final answer
    x = 1,443,602.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.