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Finding the Third Proportional to 277,540 and 605,200

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Solution

The third proportional to 277,540 and 605,200 is: 1,319,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,540 : 605,200 = 605,200 : x
  2. Step 2: Convert to fraction form
    277,540/605,200 = 605,200/x
  3. Step 3: Cross multiply
    277,540x = 605,200 × 605,200
  4. Step 4: Simplify right side
    277,540x = 366,267,040,000
  5. Step 5: Solve for x
    x = 366,267,040,000/277,540
  6. Step 6: Final answer
    x = 1,319,691.00

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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.