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Finding the Third Proportional to 197,934 and 426,484.50

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Solution

The third proportional to 197,934 and 426,484.50 is: 918,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,934 : 426,484.50 = 426,484.50 : x
  2. Step 2: Convert to fraction form
    197,934/426,484.50 = 426,484.50/x
  3. Step 3: Cross multiply
    197,934x = 426,484.50 × 426,484.50
  4. Step 4: Simplify right side
    197,934x = 181,889,028,740.25
  5. Step 5: Solve for x
    x = 181,889,028,740.25/197,934
  6. Step 6: Final answer
    x = 918,937.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.