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Finding the Third Proportional to 284,968 and 601,976

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Solution

The third proportional to 284,968 and 601,976 is: 1,271,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,968 : 601,976 = 601,976 : x
  2. Step 2: Convert to fraction form
    284,968/601,976 = 601,976/x
  3. Step 3: Cross multiply
    284,968x = 601,976 × 601,976
  4. Step 4: Simplify right side
    284,968x = 362,375,104,576
  5. Step 5: Solve for x
    x = 362,375,104,576/284,968
  6. Step 6: Final answer
    x = 1,271,634.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.