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Finding the Third Proportional to 236,388 and 505,995

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Solution

The third proportional to 236,388 and 505,995 is: 1,083,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,388 : 505,995 = 505,995 : x
  2. Step 2: Convert to fraction form
    236,388/505,995 = 505,995/x
  3. Step 3: Cross multiply
    236,388x = 505,995 × 505,995
  4. Step 4: Simplify right side
    236,388x = 256,030,940,025
  5. Step 5: Solve for x
    x = 256,030,940,025/236,388
  6. Step 6: Final answer
    x = 1,083,096.18

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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.