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Finding the Third Proportional to 577,357 and 831,662

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Solution

The third proportional to 577,357 and 831,662 is: 1,197,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,357 : 831,662 = 831,662 : x
  2. Step 2: Convert to fraction form
    577,357/831,662 = 831,662/x
  3. Step 3: Cross multiply
    577,357x = 831,662 × 831,662
  4. Step 4: Simplify right side
    577,357x = 691,661,682,244
  5. Step 5: Solve for x
    x = 691,661,682,244/577,357
  6. Step 6: Final answer
    x = 1,197,979.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.