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Finding the Third Proportional to 525,600 and 811,734

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Solution

The third proportional to 525,600 and 811,734 is: 1,253,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,600 : 811,734 = 811,734 : x
  2. Step 2: Convert to fraction form
    525,600/811,734 = 811,734/x
  3. Step 3: Cross multiply
    525,600x = 811,734 × 811,734
  4. Step 4: Simplify right side
    525,600x = 658,912,086,756
  5. Step 5: Solve for x
    x = 658,912,086,756/525,600
  6. Step 6: Final answer
    x = 1,253,637.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.