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Finding the Third Proportional to 554,341 and 836,504

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Solution

The third proportional to 554,341 and 836,504 is: 1,262,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,341 : 836,504 = 836,504 : x
  2. Step 2: Convert to fraction form
    554,341/836,504 = 836,504/x
  3. Step 3: Cross multiply
    554,341x = 836,504 × 836,504
  4. Step 4: Simplify right side
    554,341x = 699,738,942,016
  5. Step 5: Solve for x
    x = 699,738,942,016/554,341
  6. Step 6: Final answer
    x = 1,262,289.71

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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.