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Finding the Third Proportional to 277,204 and 573,423

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Solution

The third proportional to 277,204 and 573,423 is: 1,186,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,204 : 573,423 = 573,423 : x
  2. Step 2: Convert to fraction form
    277,204/573,423 = 573,423/x
  3. Step 3: Cross multiply
    277,204x = 573,423 × 573,423
  4. Step 4: Simplify right side
    277,204x = 328,813,936,929
  5. Step 5: Solve for x
    x = 328,813,936,929/277,204
  6. Step 6: Final answer
    x = 1,186,180.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.