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Finding the Third Proportional to 373,839.94 and 820,050.75

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Solution

The third proportional to 373,839.94 and 820,050.75 is: 1,798,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,839.94 : 820,050.75 = 820,050.75 : x
  2. Step 2: Convert to fraction form
    373,839.94/820,050.75 = 820,050.75/x
  3. Step 3: Cross multiply
    373,839.94x = 820,050.75 × 820,050.75
  4. Step 4: Simplify right side
    373,839.94x = 672,483,232,575.56
  5. Step 5: Solve for x
    x = 672,483,232,575.56/373,839.94
  6. Step 6: Final answer
    x = 1,798,853.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.