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Finding the Third Proportional to 366,965 and 808,425

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Solution

The third proportional to 366,965 and 808,425 is: 1,780,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 808,425 = 808,425 : x
  2. Step 2: Convert to fraction form
    366,965/808,425 = 808,425/x
  3. Step 3: Cross multiply
    366,965x = 808,425 × 808,425
  4. Step 4: Simplify right side
    366,965x = 653,550,980,625
  5. Step 5: Solve for x
    x = 653,550,980,625/366,965
  6. Step 6: Final answer
    x = 1,780,962.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.