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Finding the Third Proportional to 277,596 and 594,612

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Solution

The third proportional to 277,596 and 594,612 is: 1,273,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,596 : 594,612 = 594,612 : x
  2. Step 2: Convert to fraction form
    277,596/594,612 = 594,612/x
  3. Step 3: Cross multiply
    277,596x = 594,612 × 594,612
  4. Step 4: Simplify right side
    277,596x = 353,563,430,544
  5. Step 5: Solve for x
    x = 353,563,430,544/277,596
  6. Step 6: Final answer
    x = 1,273,661.83

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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.