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Finding the Third Proportional to 197,784 and 427,392

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Solution

The third proportional to 197,784 and 427,392 is: 923,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,784 : 427,392 = 427,392 : x
  2. Step 2: Convert to fraction form
    197,784/427,392 = 427,392/x
  3. Step 3: Cross multiply
    197,784x = 427,392 × 427,392
  4. Step 4: Simplify right side
    197,784x = 182,663,921,664
  5. Step 5: Solve for x
    x = 182,663,921,664/197,784
  6. Step 6: Final answer
    x = 923,552.57

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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.