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Finding the Third Proportional to 275,476 and 597,256

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Solution

The third proportional to 275,476 and 597,256 is: 1,294,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,476 : 597,256 = 597,256 : x
  2. Step 2: Convert to fraction form
    275,476/597,256 = 597,256/x
  3. Step 3: Cross multiply
    275,476x = 597,256 × 597,256
  4. Step 4: Simplify right side
    275,476x = 356,714,729,536
  5. Step 5: Solve for x
    x = 356,714,729,536/275,476
  6. Step 6: Final answer
    x = 1,294,903.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.