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Finding the Third Proportional to 366,950 and 773,688

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Solution

The third proportional to 366,950 and 773,688 is: 1,631,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950 : 773,688 = 773,688 : x
  2. Step 2: Convert to fraction form
    366,950/773,688 = 773,688/x
  3. Step 3: Cross multiply
    366,950x = 773,688 × 773,688
  4. Step 4: Simplify right side
    366,950x = 598,593,121,344
  5. Step 5: Solve for x
    x = 598,593,121,344/366,950
  6. Step 6: Final answer
    x = 1,631,266.17

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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.