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Finding the Third Proportional to 302,160 and 635,424

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Solution

The third proportional to 302,160 and 635,424 is: 1,336,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,160 : 635,424 = 635,424 : x
  2. Step 2: Convert to fraction form
    302,160/635,424 = 635,424/x
  3. Step 3: Cross multiply
    302,160x = 635,424 × 635,424
  4. Step 4: Simplify right side
    302,160x = 403,763,659,776
  5. Step 5: Solve for x
    x = 403,763,659,776/302,160
  6. Step 6: Final answer
    x = 1,336,257.81

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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.