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Finding the Third Proportional to 236,261 and 505,306

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Solution

The third proportional to 236,261 and 505,306 is: 1,080,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,261 : 505,306 = 505,306 : x
  2. Step 2: Convert to fraction form
    236,261/505,306 = 505,306/x
  3. Step 3: Cross multiply
    236,261x = 505,306 × 505,306
  4. Step 4: Simplify right side
    236,261x = 255,334,153,636
  5. Step 5: Solve for x
    x = 255,334,153,636/236,261
  6. Step 6: Final answer
    x = 1,080,729.17

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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.