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Finding the Third Proportional to 197,328 and 427,920

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Solution

The third proportional to 197,328 and 427,920 is: 927,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,328 : 427,920 = 427,920 : x
  2. Step 2: Convert to fraction form
    197,328/427,920 = 427,920/x
  3. Step 3: Cross multiply
    197,328x = 427,920 × 427,920
  4. Step 4: Simplify right side
    197,328x = 183,115,526,400
  5. Step 5: Solve for x
    x = 183,115,526,400/197,328
  6. Step 6: Final answer
    x = 927,975.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.