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Finding the Third Proportional to 277,567.75 and 605,334

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Solution

The third proportional to 277,567.75 and 605,334 is: 1,320,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,567.75 : 605,334 = 605,334 : x
  2. Step 2: Convert to fraction form
    277,567.75/605,334 = 605,334/x
  3. Step 3: Cross multiply
    277,567.75x = 605,334 × 605,334
  4. Step 4: Simplify right side
    277,567.75x = 366,429,251,556
  5. Step 5: Solve for x
    x = 366,429,251,556/277,567.75
  6. Step 6: Final answer
    x = 1,320,143.47

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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.