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Finding the Third Proportional to 366,939 and 554,105

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Solution

The third proportional to 366,939 and 554,105 is: 836,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,939 : 554,105 = 554,105 : x
  2. Step 2: Convert to fraction form
    366,939/554,105 = 554,105/x
  3. Step 3: Cross multiply
    366,939x = 554,105 × 554,105
  4. Step 4: Simplify right side
    366,939x = 307,032,351,025
  5. Step 5: Solve for x
    x = 307,032,351,025/366,939
  6. Step 6: Final answer
    x = 836,739.49

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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.