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Finding the Third Proportional to 366,937 and 773,663

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Solution

The third proportional to 366,937 and 773,663 is: 1,631,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,937 : 773,663 = 773,663 : x
  2. Step 2: Convert to fraction form
    366,937/773,663 = 773,663/x
  3. Step 3: Cross multiply
    366,937x = 773,663 × 773,663
  4. Step 4: Simplify right side
    366,937x = 598,554,437,569
  5. Step 5: Solve for x
    x = 598,554,437,569/366,937
  6. Step 6: Final answer
    x = 1,631,218.54

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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.