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Finding the Third Proportional to 319,046.98 and 494,256.30

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Solution

The third proportional to 319,046.98 and 494,256.30 is: 765,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046.98 : 494,256.30 = 494,256.30 : x
  2. Step 2: Convert to fraction form
    319,046.98/494,256.30 = 494,256.30/x
  3. Step 3: Cross multiply
    319,046.98x = 494,256.30 × 494,256.30
  4. Step 4: Simplify right side
    319,046.98x = 244,289,294,723.34
  5. Step 5: Solve for x
    x = 244,289,294,723.34/319,046.98
  6. Step 6: Final answer
    x = 765,684.41

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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.