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Finding the Third Proportional to 277,436.25 and 605,144.25

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Solution

The third proportional to 277,436.25 and 605,144.25 is: 1,319,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,436.25 : 605,144.25 = 605,144.25 : x
  2. Step 2: Convert to fraction form
    277,436.25/605,144.25 = 605,144.25/x
  3. Step 3: Cross multiply
    277,436.25x = 605,144.25 × 605,144.25
  4. Step 4: Simplify right side
    277,436.25x = 366,199,563,308.06
  5. Step 5: Solve for x
    x = 366,199,563,308.06/277,436.25
  6. Step 6: Final answer
    x = 1,319,941.30

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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.