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Finding the Third Proportional to 258,796 and 548,695

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Solution

The third proportional to 258,796 and 548,695 is: 1,163,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,796 : 548,695 = 548,695 : x
  2. Step 2: Convert to fraction form
    258,796/548,695 = 548,695/x
  3. Step 3: Cross multiply
    258,796x = 548,695 × 548,695
  4. Step 4: Simplify right side
    258,796x = 301,066,203,025
  5. Step 5: Solve for x
    x = 301,066,203,025/258,796
  6. Step 6: Final answer
    x = 1,163,334.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.