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Finding the Third Proportional to 196,452 and 419,724

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Solution

The third proportional to 196,452 and 419,724 is: 896,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,452 : 419,724 = 419,724 : x
  2. Step 2: Convert to fraction form
    196,452/419,724 = 419,724/x
  3. Step 3: Cross multiply
    196,452x = 419,724 × 419,724
  4. Step 4: Simplify right side
    196,452x = 176,168,236,176
  5. Step 5: Solve for x
    x = 176,168,236,176/196,452
  6. Step 6: Final answer
    x = 896,749.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.