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Finding the Third Proportional to 192,595 and 429,447

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Solution

The third proportional to 192,595 and 429,447 is: 957,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,595 : 429,447 = 429,447 : x
  2. Step 2: Convert to fraction form
    192,595/429,447 = 429,447/x
  3. Step 3: Cross multiply
    192,595x = 429,447 × 429,447
  4. Step 4: Simplify right side
    192,595x = 184,424,725,809
  5. Step 5: Solve for x
    x = 184,424,725,809/192,595
  6. Step 6: Final answer
    x = 957,577.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.