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Finding the Third Proportional to 196,795 and 407,594

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Solution

The third proportional to 196,795 and 407,594 is: 844,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,795 : 407,594 = 407,594 : x
  2. Step 2: Convert to fraction form
    196,795/407,594 = 407,594/x
  3. Step 3: Cross multiply
    196,795x = 407,594 × 407,594
  4. Step 4: Simplify right side
    196,795x = 166,132,868,836
  5. Step 5: Solve for x
    x = 166,132,868,836/196,795
  6. Step 6: Final answer
    x = 844,192.53

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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.