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Finding the Third Proportional to 236,823 and 374,958

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Solution

The third proportional to 236,823 and 374,958 is: 593,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,823 : 374,958 = 374,958 : x
  2. Step 2: Convert to fraction form
    236,823/374,958 = 374,958/x
  3. Step 3: Cross multiply
    236,823x = 374,958 × 374,958
  4. Step 4: Simplify right side
    236,823x = 140,593,501,764
  5. Step 5: Solve for x
    x = 140,593,501,764/236,823
  6. Step 6: Final answer
    x = 593,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.