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Finding the Third Proportional to 238,267.83 and 464,562.84

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Solution

The third proportional to 238,267.83 and 464,562.84 is: 905,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,267.83 : 464,562.84 = 464,562.84 : x
  2. Step 2: Convert to fraction form
    238,267.83/464,562.84 = 464,562.84/x
  3. Step 3: Cross multiply
    238,267.83x = 464,562.84 × 464,562.84
  4. Step 4: Simplify right side
    238,267.83x = 215,818,635,793.09
  5. Step 5: Solve for x
    x = 215,818,635,793.09/238,267.83
  6. Step 6: Final answer
    x = 905,781.69

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.