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Finding the Third Proportional to 277,294 and 567,698

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Solution

The third proportional to 277,294 and 567,698 is: 1,162,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294 : 567,698 = 567,698 : x
  2. Step 2: Convert to fraction form
    277,294/567,698 = 567,698/x
  3. Step 3: Cross multiply
    277,294x = 567,698 × 567,698
  4. Step 4: Simplify right side
    277,294x = 322,281,019,204
  5. Step 5: Solve for x
    x = 322,281,019,204/277,294
  6. Step 6: Final answer
    x = 1,162,235.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.