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Finding the Third Proportional to 300,288 and 659,637

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Solution

The third proportional to 300,288 and 659,637 is: 1,449,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,288 : 659,637 = 659,637 : x
  2. Step 2: Convert to fraction form
    300,288/659,637 = 659,637/x
  3. Step 3: Cross multiply
    300,288x = 659,637 × 659,637
  4. Step 4: Simplify right side
    300,288x = 435,120,971,769
  5. Step 5: Solve for x
    x = 435,120,971,769/300,288
  6. Step 6: Final answer
    x = 1,449,012.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.