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Finding the Third Proportional to 525,800 and 858,505

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Solution

The third proportional to 525,800 and 858,505 is: 1,401,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,800 : 858,505 = 858,505 : x
  2. Step 2: Convert to fraction form
    525,800/858,505 = 858,505/x
  3. Step 3: Cross multiply
    525,800x = 858,505 × 858,505
  4. Step 4: Simplify right side
    525,800x = 737,030,835,025
  5. Step 5: Solve for x
    x = 737,030,835,025/525,800
  6. Step 6: Final answer
    x = 1,401,732.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.