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Finding the Third Proportional to 322,841 and 637,420

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Solution

The third proportional to 322,841 and 637,420 is: 1,258,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,841 : 637,420 = 637,420 : x
  2. Step 2: Convert to fraction form
    322,841/637,420 = 637,420/x
  3. Step 3: Cross multiply
    322,841x = 637,420 × 637,420
  4. Step 4: Simplify right side
    322,841x = 406,304,256,400
  5. Step 5: Solve for x
    x = 406,304,256,400/322,841
  6. Step 6: Final answer
    x = 1,258,527.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.