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Finding the Third Proportional to 236,416 and 513,019

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Solution

The third proportional to 236,416 and 513,019 is: 1,113,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,416 : 513,019 = 513,019 : x
  2. Step 2: Convert to fraction form
    236,416/513,019 = 513,019/x
  3. Step 3: Cross multiply
    236,416x = 513,019 × 513,019
  4. Step 4: Simplify right side
    236,416x = 263,188,494,361
  5. Step 5: Solve for x
    x = 263,188,494,361/236,416
  6. Step 6: Final answer
    x = 1,113,243.16

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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.