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Finding the Third Proportional to 524,831 and 835,515

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Solution

The third proportional to 524,831 and 835,515 is: 1,330,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,831 : 835,515 = 835,515 : x
  2. Step 2: Convert to fraction form
    524,831/835,515 = 835,515/x
  3. Step 3: Cross multiply
    524,831x = 835,515 × 835,515
  4. Step 4: Simplify right side
    524,831x = 698,085,315,225
  5. Step 5: Solve for x
    x = 698,085,315,225/524,831
  6. Step 6: Final answer
    x = 1,330,114.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.