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Finding the Third Proportional to 418,132 and 903,328

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Solution

The third proportional to 418,132 and 903,328 is: 1,951,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,132 : 903,328 = 903,328 : x
  2. Step 2: Convert to fraction form
    418,132/903,328 = 903,328/x
  3. Step 3: Cross multiply
    418,132x = 903,328 × 903,328
  4. Step 4: Simplify right side
    418,132x = 816,001,475,584
  5. Step 5: Solve for x
    x = 816,001,475,584/418,132
  6. Step 6: Final answer
    x = 1,951,540.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.