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Finding the Third Proportional to 302,242 and 635,638

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Solution

The third proportional to 302,242 and 635,638 is: 1,336,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,242 : 635,638 = 635,638 : x
  2. Step 2: Convert to fraction form
    302,242/635,638 = 635,638/x
  3. Step 3: Cross multiply
    302,242x = 635,638 × 635,638
  4. Step 4: Simplify right side
    302,242x = 404,035,667,044
  5. Step 5: Solve for x
    x = 404,035,667,044/302,242
  6. Step 6: Final answer
    x = 1,336,795.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.