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Finding the Third Proportional to 373,864 and 810,832

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Solution

The third proportional to 373,864 and 810,832 is: 1,758,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,864 : 810,832 = 810,832 : x
  2. Step 2: Convert to fraction form
    373,864/810,832 = 810,832/x
  3. Step 3: Cross multiply
    373,864x = 810,832 × 810,832
  4. Step 4: Simplify right side
    373,864x = 657,448,532,224
  5. Step 5: Solve for x
    x = 657,448,532,224/373,864
  6. Step 6: Final answer
    x = 1,758,523.24

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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.