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Finding the Third Proportional to 418,048 and 636,904

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Solution

The third proportional to 418,048 and 636,904 is: 970,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,048 : 636,904 = 636,904 : x
  2. Step 2: Convert to fraction form
    418,048/636,904 = 636,904/x
  3. Step 3: Cross multiply
    418,048x = 636,904 × 636,904
  4. Step 4: Simplify right side
    418,048x = 405,646,705,216
  5. Step 5: Solve for x
    x = 405,646,705,216/418,048
  6. Step 6: Final answer
    x = 970,335.24

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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.