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Finding the Third Proportional to 197,850 and 438,396

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Solution

The third proportional to 197,850 and 438,396 is: 971,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,850 : 438,396 = 438,396 : x
  2. Step 2: Convert to fraction form
    197,850/438,396 = 438,396/x
  3. Step 3: Cross multiply
    197,850x = 438,396 × 438,396
  4. Step 4: Simplify right side
    197,850x = 192,191,052,816
  5. Step 5: Solve for x
    x = 192,191,052,816/197,850
  6. Step 6: Final answer
    x = 971,397.79

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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.