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Finding the Third Proportional to 277,573.88 and 597,247.50

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Solution

The third proportional to 277,573.88 and 597,247.50 is: 1,285,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,573.88 : 597,247.50 = 597,247.50 : x
  2. Step 2: Convert to fraction form
    277,573.88/597,247.50 = 597,247.50/x
  3. Step 3: Cross multiply
    277,573.88x = 597,247.50 × 597,247.50
  4. Step 4: Simplify right side
    277,573.88x = 356,704,576,256.25
  5. Step 5: Solve for x
    x = 356,704,576,256.25/277,573.88
  6. Step 6: Final answer
    x = 1,285,079.79

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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.