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Finding the Third Proportional to 277,293.94 and 596,619.28

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Solution

The third proportional to 277,293.94 and 596,619.28 is: 1,283,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,293.94 : 596,619.28 = 596,619.28 : x
  2. Step 2: Convert to fraction form
    277,293.94/596,619.28 = 596,619.28/x
  3. Step 3: Cross multiply
    277,293.94x = 596,619.28 × 596,619.28
  4. Step 4: Simplify right side
    277,293.94x = 355,954,566,759.27
  5. Step 5: Solve for x
    x = 355,954,566,759.27/277,293.94
  6. Step 6: Final answer
    x = 1,283,672.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.