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Finding the Third Proportional to 197,764 and 424,328

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Solution

The third proportional to 197,764 and 424,328 is: 910,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764 : 424,328 = 424,328 : x
  2. Step 2: Convert to fraction form
    197,764/424,328 = 424,328/x
  3. Step 3: Cross multiply
    197,764x = 424,328 × 424,328
  4. Step 4: Simplify right side
    197,764x = 180,054,251,584
  5. Step 5: Solve for x
    x = 180,054,251,584/197,764
  6. Step 6: Final answer
    x = 910,450.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.