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Finding the Third Proportional to 236,056 and 518,768

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Solution

The third proportional to 236,056 and 518,768 is: 1,140,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,056 : 518,768 = 518,768 : x
  2. Step 2: Convert to fraction form
    236,056/518,768 = 518,768/x
  3. Step 3: Cross multiply
    236,056x = 518,768 × 518,768
  4. Step 4: Simplify right side
    236,056x = 269,120,237,824
  5. Step 5: Solve for x
    x = 269,120,237,824/236,056
  6. Step 6: Final answer
    x = 1,140,069.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.