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Finding the Third Proportional to 550,414 and 775,104

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Solution

The third proportional to 550,414 and 775,104 is: 1,091,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,414 : 775,104 = 775,104 : x
  2. Step 2: Convert to fraction form
    550,414/775,104 = 775,104/x
  3. Step 3: Cross multiply
    550,414x = 775,104 × 775,104
  4. Step 4: Simplify right side
    550,414x = 600,786,210,816
  5. Step 5: Solve for x
    x = 600,786,210,816/550,414
  6. Step 6: Final answer
    x = 1,091,516.95

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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.