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Finding the Third Proportional to 275,670 and 563,004

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Solution

The third proportional to 275,670 and 563,004 is: 1,149,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,670 : 563,004 = 563,004 : x
  2. Step 2: Convert to fraction form
    275,670/563,004 = 563,004/x
  3. Step 3: Cross multiply
    275,670x = 563,004 × 563,004
  4. Step 4: Simplify right side
    275,670x = 316,973,504,016
  5. Step 5: Solve for x
    x = 316,973,504,016/275,670
  6. Step 6: Final answer
    x = 1,149,829.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.