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Finding the Third Proportional to 302,839 and 655,836

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Solution

The third proportional to 302,839 and 655,836 is: 1,420,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,839 : 655,836 = 655,836 : x
  2. Step 2: Convert to fraction form
    302,839/655,836 = 655,836/x
  3. Step 3: Cross multiply
    302,839x = 655,836 × 655,836
  4. Step 4: Simplify right side
    302,839x = 430,120,858,896
  5. Step 5: Solve for x
    x = 430,120,858,896/302,839
  6. Step 6: Final answer
    x = 1,420,295.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.