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Finding the Third Proportional to 366,987 and 773,871

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Solution

The third proportional to 366,987 and 773,871 is: 1,631,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,987 : 773,871 = 773,871 : x
  2. Step 2: Convert to fraction form
    366,987/773,871 = 773,871/x
  3. Step 3: Cross multiply
    366,987x = 773,871 × 773,871
  4. Step 4: Simplify right side
    366,987x = 598,876,324,641
  5. Step 5: Solve for x
    x = 598,876,324,641/366,987
  6. Step 6: Final answer
    x = 1,631,873.40

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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.