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Finding the Third Proportional to 236,623 and 513,170

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Solution

The third proportional to 236,623 and 513,170 is: 1,112,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,623 : 513,170 = 513,170 : x
  2. Step 2: Convert to fraction form
    236,623/513,170 = 513,170/x
  3. Step 3: Cross multiply
    236,623x = 513,170 × 513,170
  4. Step 4: Simplify right side
    236,623x = 263,343,448,900
  5. Step 5: Solve for x
    x = 263,343,448,900/236,623
  6. Step 6: Final answer
    x = 1,112,924.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.