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Finding the Third Proportional to 277,604 and 594,622

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Solution

The third proportional to 277,604 and 594,622 is: 1,273,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,604 : 594,622 = 594,622 : x
  2. Step 2: Convert to fraction form
    277,604/594,622 = 594,622/x
  3. Step 3: Cross multiply
    277,604x = 594,622 × 594,622
  4. Step 4: Simplify right side
    277,604x = 353,575,322,884
  5. Step 5: Solve for x
    x = 353,575,322,884/277,604
  6. Step 6: Final answer
    x = 1,273,667.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.