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Finding the Third Proportional to 277,567.25 and 605,333

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Solution

The third proportional to 277,567.25 and 605,333 is: 1,320,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,567.25 : 605,333 = 605,333 : x
  2. Step 2: Convert to fraction form
    277,567.25/605,333 = 605,333/x
  3. Step 3: Cross multiply
    277,567.25x = 605,333 × 605,333
  4. Step 4: Simplify right side
    277,567.25x = 366,428,040,889
  5. Step 5: Solve for x
    x = 366,428,040,889/277,567.25
  6. Step 6: Final answer
    x = 1,320,141.48

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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.