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Finding the Third Proportional to 277,527 and 605,175

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Solution

The third proportional to 277,527 and 605,175 is: 1,319,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,527 : 605,175 = 605,175 : x
  2. Step 2: Convert to fraction form
    277,527/605,175 = 605,175/x
  3. Step 3: Cross multiply
    277,527x = 605,175 × 605,175
  4. Step 4: Simplify right side
    277,527x = 366,236,780,625
  5. Step 5: Solve for x
    x = 366,236,780,625/277,527
  6. Step 6: Final answer
    x = 1,319,643.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.