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Finding the Third Proportional to 505,876.50 and 1,083,867

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Solution

The third proportional to 505,876.50 and 1,083,867 is: 2,322,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,876.50 : 1,083,867 = 1,083,867 : x
  2. Step 2: Convert to fraction form
    505,876.50/1,083,867 = 1,083,867/x
  3. Step 3: Cross multiply
    505,876.50x = 1,083,867 × 1,083,867
  4. Step 4: Simplify right side
    505,876.50x = 1,174,767,673,689
  5. Step 5: Solve for x
    x = 1,174,767,673,689/505,876.50
  6. Step 6: Final answer
    x = 2,322,242.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.