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Finding the Third Proportional to 277,665 and 594,697

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Solution

The third proportional to 277,665 and 594,697 is: 1,273,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,665 : 594,697 = 594,697 : x
  2. Step 2: Convert to fraction form
    277,665/594,697 = 594,697/x
  3. Step 3: Cross multiply
    277,665x = 594,697 × 594,697
  4. Step 4: Simplify right side
    277,665x = 353,664,521,809
  5. Step 5: Solve for x
    x = 353,664,521,809/277,665
  6. Step 6: Final answer
    x = 1,273,709.40

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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.