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Finding the Third Proportional to 196,947 and 474,817.50

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Solution

The third proportional to 196,947 and 474,817.50 is: 1,144,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,947 : 474,817.50 = 474,817.50 : x
  2. Step 2: Convert to fraction form
    196,947/474,817.50 = 474,817.50/x
  3. Step 3: Cross multiply
    196,947x = 474,817.50 × 474,817.50
  4. Step 4: Simplify right side
    196,947x = 225,451,658,306.25
  5. Step 5: Solve for x
    x = 225,451,658,306.25/196,947
  6. Step 6: Final answer
    x = 1,144,732.64

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Why These Related Problems?

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