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Finding the Third Proportional to 277,248 and 417,844

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Solution

The third proportional to 277,248 and 417,844 is: 629,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,248 : 417,844 = 417,844 : x
  2. Step 2: Convert to fraction form
    277,248/417,844 = 417,844/x
  3. Step 3: Cross multiply
    277,248x = 417,844 × 417,844
  4. Step 4: Simplify right side
    277,248x = 174,593,608,336
  5. Step 5: Solve for x
    x = 174,593,608,336/277,248
  6. Step 6: Final answer
    x = 629,738.03

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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.