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Finding the Third Proportional to 373,977 and 810,693.56

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Solution

The third proportional to 373,977 and 810,693.56 is: 1,757,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,977 : 810,693.56 = 810,693.56 : x
  2. Step 2: Convert to fraction form
    373,977/810,693.56 = 810,693.56/x
  3. Step 3: Cross multiply
    373,977x = 810,693.56 × 810,693.56
  4. Step 4: Simplify right side
    373,977x = 657,224,052,278.94
  5. Step 5: Solve for x
    x = 657,224,052,278.94/373,977
  6. Step 6: Final answer
    x = 1,757,391.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.