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Finding the Third Proportional to 473,021.44 and 733,828.78

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Solution

The third proportional to 473,021.44 and 733,828.78 is: 1,138,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,021.44 : 733,828.78 = 733,828.78 : x
  2. Step 2: Convert to fraction form
    473,021.44/733,828.78 = 733,828.78/x
  3. Step 3: Cross multiply
    473,021.44x = 733,828.78 × 733,828.78
  4. Step 4: Simplify right side
    473,021.44x = 538,504,680,190.86
  5. Step 5: Solve for x
    x = 538,504,680,190.86/473,021.44
  6. Step 6: Final answer
    x = 1,138,436.10

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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.