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Finding the Third Proportional to 196,356 and 407,283

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Solution

The third proportional to 196,356 and 407,283 is: 844,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,356 : 407,283 = 407,283 : x
  2. Step 2: Convert to fraction form
    196,356/407,283 = 407,283/x
  3. Step 3: Cross multiply
    196,356x = 407,283 × 407,283
  4. Step 4: Simplify right side
    196,356x = 165,879,442,089
  5. Step 5: Solve for x
    x = 165,879,442,089/196,356
  6. Step 6: Final answer
    x = 844,789.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.