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Finding the Third Proportional to 218,964 and 471,700

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Solution

The third proportional to 218,964 and 471,700 is: 1,016,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964 : 471,700 = 471,700 : x
  2. Step 2: Convert to fraction form
    218,964/471,700 = 471,700/x
  3. Step 3: Cross multiply
    218,964x = 471,700 × 471,700
  4. Step 4: Simplify right side
    218,964x = 222,500,890,000
  5. Step 5: Solve for x
    x = 222,500,890,000/218,964
  6. Step 6: Final answer
    x = 1,016,152.84

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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.