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Finding the Third Proportional to 236,438 and 353,823

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Solution

The third proportional to 236,438 and 353,823 is: 529,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,438 : 353,823 = 353,823 : x
  2. Step 2: Convert to fraction form
    236,438/353,823 = 353,823/x
  3. Step 3: Cross multiply
    236,438x = 353,823 × 353,823
  4. Step 4: Simplify right side
    236,438x = 125,190,715,329
  5. Step 5: Solve for x
    x = 125,190,715,329/236,438
  6. Step 6: Final answer
    x = 529,486.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.