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Finding the Third Proportional to 366,989 and 773,875

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Solution

The third proportional to 366,989 and 773,875 is: 1,631,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,989 : 773,875 = 773,875 : x
  2. Step 2: Convert to fraction form
    366,989/773,875 = 773,875/x
  3. Step 3: Cross multiply
    366,989x = 773,875 × 773,875
  4. Step 4: Simplify right side
    366,989x = 598,882,515,625
  5. Step 5: Solve for x
    x = 598,882,515,625/366,989
  6. Step 6: Final answer
    x = 1,631,881.38

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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.