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Finding the Third Proportional to 218,031 and 469,450.50

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Solution

The third proportional to 218,031 and 469,450.50 is: 1,010,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,031 : 469,450.50 = 469,450.50 : x
  2. Step 2: Convert to fraction form
    218,031/469,450.50 = 469,450.50/x
  3. Step 3: Cross multiply
    218,031x = 469,450.50 × 469,450.50
  4. Step 4: Simplify right side
    218,031x = 220,383,771,950.25
  5. Step 5: Solve for x
    x = 220,383,771,950.25/218,031
  6. Step 6: Final answer
    x = 1,010,791.00

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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.