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Finding the Third Proportional to 505,917.75 and 1,077,381

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Solution

The third proportional to 505,917.75 and 1,077,381 is: 2,294,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,917.75 : 1,077,381 = 1,077,381 : x
  2. Step 2: Convert to fraction form
    505,917.75/1,077,381 = 1,077,381/x
  3. Step 3: Cross multiply
    505,917.75x = 1,077,381 × 1,077,381
  4. Step 4: Simplify right side
    505,917.75x = 1,160,749,819,161
  5. Step 5: Solve for x
    x = 1,160,749,819,161/505,917.75
  6. Step 6: Final answer
    x = 2,294,344.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.