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Finding the Third Proportional to 197,874 and 438,432

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Solution

The third proportional to 197,874 and 438,432 is: 971,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,874 : 438,432 = 438,432 : x
  2. Step 2: Convert to fraction form
    197,874/438,432 = 438,432/x
  3. Step 3: Cross multiply
    197,874x = 438,432 × 438,432
  4. Step 4: Simplify right side
    197,874x = 192,222,618,624
  5. Step 5: Solve for x
    x = 192,222,618,624/197,874
  6. Step 6: Final answer
    x = 971,439.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.