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Finding the Third Proportional to 319,393.13 and 494,467.03

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Solution

The third proportional to 319,393.13 and 494,467.03 is: 765,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,393.13 : 494,467.03 = 494,467.03 : x
  2. Step 2: Convert to fraction form
    319,393.13/494,467.03 = 494,467.03/x
  3. Step 3: Cross multiply
    319,393.13x = 494,467.03 × 494,467.03
  4. Step 4: Simplify right side
    319,393.13x = 244,497,644,993.19
  5. Step 5: Solve for x
    x = 244,497,644,993.19/319,393.13
  6. Step 6: Final answer
    x = 765,506.91

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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.