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Finding the Third Proportional to 366,970 and 773,728

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Solution

The third proportional to 366,970 and 773,728 is: 1,631,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 773,728 = 773,728 : x
  2. Step 2: Convert to fraction form
    366,970/773,728 = 773,728/x
  3. Step 3: Cross multiply
    366,970x = 773,728 × 773,728
  4. Step 4: Simplify right side
    366,970x = 598,655,017,984
  5. Step 5: Solve for x
    x = 598,655,017,984/366,970
  6. Step 6: Final answer
    x = 1,631,345.94

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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.