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Finding the Third Proportional to 417,652 and 636,270

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Solution

The third proportional to 417,652 and 636,270 is: 969,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,652 : 636,270 = 636,270 : x
  2. Step 2: Convert to fraction form
    417,652/636,270 = 636,270/x
  3. Step 3: Cross multiply
    417,652x = 636,270 × 636,270
  4. Step 4: Simplify right side
    417,652x = 404,839,512,900
  5. Step 5: Solve for x
    x = 404,839,512,900/417,652
  6. Step 6: Final answer
    x = 969,322.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.