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Finding the Third Proportional to 277,696 and 619,904

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Solution

The third proportional to 277,696 and 619,904 is: 1,383,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,696 : 619,904 = 619,904 : x
  2. Step 2: Convert to fraction form
    277,696/619,904 = 619,904/x
  3. Step 3: Cross multiply
    277,696x = 619,904 × 619,904
  4. Step 4: Simplify right side
    277,696x = 384,280,969,216
  5. Step 5: Solve for x
    x = 384,280,969,216/277,696
  6. Step 6: Final answer
    x = 1,383,818.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.