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Finding the Third Proportional to 236,599 and 367,379

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Solution

The third proportional to 236,599 and 367,379 is: 570,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,599 : 367,379 = 367,379 : x
  2. Step 2: Convert to fraction form
    236,599/367,379 = 367,379/x
  3. Step 3: Cross multiply
    236,599x = 367,379 × 367,379
  4. Step 4: Simplify right side
    236,599x = 134,967,329,641
  5. Step 5: Solve for x
    x = 134,967,329,641/236,599
  6. Step 6: Final answer
    x = 570,447.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.