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Finding the Third Proportional to 235,412 and 523,131

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Solution

The third proportional to 235,412 and 523,131 is: 1,162,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,412 : 523,131 = 523,131 : x
  2. Step 2: Convert to fraction form
    235,412/523,131 = 523,131/x
  3. Step 3: Cross multiply
    235,412x = 523,131 × 523,131
  4. Step 4: Simplify right side
    235,412x = 273,666,043,161
  5. Step 5: Solve for x
    x = 273,666,043,161/235,412
  6. Step 6: Final answer
    x = 1,162,498.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.