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Finding the Third Proportional to 525,762 and 823,689

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Solution

The third proportional to 525,762 and 823,689 is: 1,290,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,762 : 823,689 = 823,689 : x
  2. Step 2: Convert to fraction form
    525,762/823,689 = 823,689/x
  3. Step 3: Cross multiply
    525,762x = 823,689 × 823,689
  4. Step 4: Simplify right side
    525,762x = 678,463,568,721
  5. Step 5: Solve for x
    x = 678,463,568,721/525,762
  6. Step 6: Final answer
    x = 1,290,438.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.