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Finding the Third Proportional to 277,549 and 594,504

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Solution

The third proportional to 277,549 and 594,504 is: 1,273,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,549 : 594,504 = 594,504 : x
  2. Step 2: Convert to fraction form
    277,549/594,504 = 594,504/x
  3. Step 3: Cross multiply
    277,549x = 594,504 × 594,504
  4. Step 4: Simplify right side
    277,549x = 353,435,006,016
  5. Step 5: Solve for x
    x = 353,435,006,016/277,549
  6. Step 6: Final answer
    x = 1,273,414.81

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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.