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Finding the Third Proportional to 197,743 and 426,590

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Solution

The third proportional to 197,743 and 426,590 is: 920,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,743 : 426,590 = 426,590 : x
  2. Step 2: Convert to fraction form
    197,743/426,590 = 426,590/x
  3. Step 3: Cross multiply
    197,743x = 426,590 × 426,590
  4. Step 4: Simplify right side
    197,743x = 181,979,028,100
  5. Step 5: Solve for x
    x = 181,979,028,100/197,743
  6. Step 6: Final answer
    x = 920,280.51

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