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Finding the Third Proportional to 236,827 and 374,964

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Solution

The third proportional to 236,827 and 374,964 is: 593,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,827 : 374,964 = 374,964 : x
  2. Step 2: Convert to fraction form
    236,827/374,964 = 374,964/x
  3. Step 3: Cross multiply
    236,827x = 374,964 × 374,964
  4. Step 4: Simplify right side
    236,827x = 140,598,001,296
  5. Step 5: Solve for x
    x = 140,598,001,296/236,827
  6. Step 6: Final answer
    x = 593,673.87

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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.