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Finding the Third Proportional to 525,226.50 and 823,060.13

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Solution

The third proportional to 525,226.50 and 823,060.13 is: 1,289,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,226.50 : 823,060.13 = 823,060.13 : x
  2. Step 2: Convert to fraction form
    525,226.50/823,060.13 = 823,060.13/x
  3. Step 3: Cross multiply
    525,226.50x = 823,060.13 × 823,060.13
  4. Step 4: Simplify right side
    525,226.50x = 677,427,969,365.02
  5. Step 5: Solve for x
    x = 677,427,969,365.02/525,226.50
  6. Step 6: Final answer
    x = 1,289,782.54

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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.