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Finding the Third Proportional to 277,824.94 and 597,071.25

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Solution

The third proportional to 277,824.94 and 597,071.25 is: 1,283,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,824.94 : 597,071.25 = 597,071.25 : x
  2. Step 2: Convert to fraction form
    277,824.94/597,071.25 = 597,071.25/x
  3. Step 3: Cross multiply
    277,824.94x = 597,071.25 × 597,071.25
  4. Step 4: Simplify right side
    277,824.94x = 356,494,077,576.56
  5. Step 5: Solve for x
    x = 356,494,077,576.56/277,824.94
  6. Step 6: Final answer
    x = 1,283,160.83

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Why These Related Problems?

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