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Finding the Third Proportional to 490,538 and 695,631

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Solution

The third proportional to 490,538 and 695,631 is: 986,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,538 : 695,631 = 695,631 : x
  2. Step 2: Convert to fraction form
    490,538/695,631 = 695,631/x
  3. Step 3: Cross multiply
    490,538x = 695,631 × 695,631
  4. Step 4: Simplify right side
    490,538x = 483,902,488,161
  5. Step 5: Solve for x
    x = 483,902,488,161/490,538
  6. Step 6: Final answer
    x = 986,472.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.