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Finding the Third Proportional to 505,836 and 762,096

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Solution

The third proportional to 505,836 and 762,096 is: 1,148,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,836 : 762,096 = 762,096 : x
  2. Step 2: Convert to fraction form
    505,836/762,096 = 762,096/x
  3. Step 3: Cross multiply
    505,836x = 762,096 × 762,096
  4. Step 4: Simplify right side
    505,836x = 580,790,313,216
  5. Step 5: Solve for x
    x = 580,790,313,216/505,836
  6. Step 6: Final answer
    x = 1,148,179.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.