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Finding the Third Proportional to 197,553 and 427,019

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Solution

The third proportional to 197,553 and 427,019 is: 923,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,553 : 427,019 = 427,019 : x
  2. Step 2: Convert to fraction form
    197,553/427,019 = 427,019/x
  3. Step 3: Cross multiply
    197,553x = 427,019 × 427,019
  4. Step 4: Simplify right side
    197,553x = 182,345,226,361
  5. Step 5: Solve for x
    x = 182,345,226,361/197,553
  6. Step 6: Final answer
    x = 923,019.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.