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Finding the Third Proportional to 236,259 and 505,302

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Solution

The third proportional to 236,259 and 505,302 is: 1,080,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,259 : 505,302 = 505,302 : x
  2. Step 2: Convert to fraction form
    236,259/505,302 = 505,302/x
  3. Step 3: Cross multiply
    236,259x = 505,302 × 505,302
  4. Step 4: Simplify right side
    236,259x = 255,330,111,204
  5. Step 5: Solve for x
    x = 255,330,111,204/236,259
  6. Step 6: Final answer
    x = 1,080,721.21

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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.