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Finding the Third Proportional to 366,965 and 773,827

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Solution

The third proportional to 366,965 and 773,827 is: 1,631,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 773,827 = 773,827 : x
  2. Step 2: Convert to fraction form
    366,965/773,827 = 773,827/x
  3. Step 3: Cross multiply
    366,965x = 773,827 × 773,827
  4. Step 4: Simplify right side
    366,965x = 598,808,225,929
  5. Step 5: Solve for x
    x = 598,808,225,929/366,965
  6. Step 6: Final answer
    x = 1,631,785.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.