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Finding the Third Proportional to 319,443 and 494,556

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Solution

The third proportional to 319,443 and 494,556 is: 765,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,443 : 494,556 = 494,556 : x
  2. Step 2: Convert to fraction form
    319,443/494,556 = 494,556/x
  3. Step 3: Cross multiply
    319,443x = 494,556 × 494,556
  4. Step 4: Simplify right side
    319,443x = 244,585,637,136
  5. Step 5: Solve for x
    x = 244,585,637,136/319,443
  6. Step 6: Final answer
    x = 765,662.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.