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Finding the Third Proportional to 302,157 and 635,418

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Solution

The third proportional to 302,157 and 635,418 is: 1,336,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,157 : 635,418 = 635,418 : x
  2. Step 2: Convert to fraction form
    302,157/635,418 = 635,418/x
  3. Step 3: Cross multiply
    302,157x = 635,418 × 635,418
  4. Step 4: Simplify right side
    302,157x = 403,756,034,724
  5. Step 5: Solve for x
    x = 403,756,034,724/302,157
  6. Step 6: Final answer
    x = 1,336,245.84

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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.