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Finding the Third Proportional to 277,056 and 605,952

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Solution

The third proportional to 277,056 and 605,952 is: 1,325,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,056 : 605,952 = 605,952 : x
  2. Step 2: Convert to fraction form
    277,056/605,952 = 605,952/x
  3. Step 3: Cross multiply
    277,056x = 605,952 × 605,952
  4. Step 4: Simplify right side
    277,056x = 367,177,826,304
  5. Step 5: Solve for x
    x = 367,177,826,304/277,056
  6. Step 6: Final answer
    x = 1,325,283.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.