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Finding the Third Proportional to 252,622 and 540,256

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Solution

The third proportional to 252,622 and 540,256 is: 1,155,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,622 : 540,256 = 540,256 : x
  2. Step 2: Convert to fraction form
    252,622/540,256 = 540,256/x
  3. Step 3: Cross multiply
    252,622x = 540,256 × 540,256
  4. Step 4: Simplify right side
    252,622x = 291,876,545,536
  5. Step 5: Solve for x
    x = 291,876,545,536/252,622
  6. Step 6: Final answer
    x = 1,155,388.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.