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Finding the Third Proportional to 277,105 and 597,476

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Solution

The third proportional to 277,105 and 597,476 is: 1,288,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,105 : 597,476 = 597,476 : x
  2. Step 2: Convert to fraction form
    277,105/597,476 = 597,476/x
  3. Step 3: Cross multiply
    277,105x = 597,476 × 597,476
  4. Step 4: Simplify right side
    277,105x = 356,977,570,576
  5. Step 5: Solve for x
    x = 356,977,570,576/277,105
  6. Step 6: Final answer
    x = 1,288,239.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.