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Finding the Third Proportional to 234,736 and 505,976

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Solution

The third proportional to 234,736 and 505,976 is: 1,090,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,736 : 505,976 = 505,976 : x
  2. Step 2: Convert to fraction form
    234,736/505,976 = 505,976/x
  3. Step 3: Cross multiply
    234,736x = 505,976 × 505,976
  4. Step 4: Simplify right side
    234,736x = 256,011,712,576
  5. Step 5: Solve for x
    x = 256,011,712,576/234,736
  6. Step 6: Final answer
    x = 1,090,636.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.