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Finding the Third Proportional to 197,658 and 434,677

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Solution

The third proportional to 197,658 and 434,677 is: 955,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,658 : 434,677 = 434,677 : x
  2. Step 2: Convert to fraction form
    197,658/434,677 = 434,677/x
  3. Step 3: Cross multiply
    197,658x = 434,677 × 434,677
  4. Step 4: Simplify right side
    197,658x = 188,944,094,329
  5. Step 5: Solve for x
    x = 188,944,094,329/197,658
  6. Step 6: Final answer
    x = 955,914.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.