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Finding the Third Proportional to 522,583.31 and 735,885

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Solution

The third proportional to 522,583.31 and 735,885 is: 1,036,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,583.31 : 735,885 = 735,885 : x
  2. Step 2: Convert to fraction form
    522,583.31/735,885 = 735,885/x
  3. Step 3: Cross multiply
    522,583.31x = 735,885 × 735,885
  4. Step 4: Simplify right side
    522,583.31x = 541,526,733,225
  5. Step 5: Solve for x
    x = 541,526,733,225/522,583.31
  6. Step 6: Final answer
    x = 1,036,249.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.