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Finding the Third Proportional to 196,924 and 474,768.50

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Solution

The third proportional to 196,924 and 474,768.50 is: 1,144,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,924 : 474,768.50 = 474,768.50 : x
  2. Step 2: Convert to fraction form
    196,924/474,768.50 = 474,768.50/x
  3. Step 3: Cross multiply
    196,924x = 474,768.50 × 474,768.50
  4. Step 4: Simplify right side
    196,924x = 225,405,128,592.25
  5. Step 5: Solve for x
    x = 225,405,128,592.25/196,924
  6. Step 6: Final answer
    x = 1,144,630.05

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.