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Finding the Third Proportional to 318,138.19 and 681,816.94

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Solution

The third proportional to 318,138.19 and 681,816.94 is: 1,461,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,138.19 : 681,816.94 = 681,816.94 : x
  2. Step 2: Convert to fraction form
    318,138.19/681,816.94 = 681,816.94/x
  3. Step 3: Cross multiply
    318,138.19x = 681,816.94 × 681,816.94
  4. Step 4: Simplify right side
    318,138.19x = 464,874,336,261.88
  5. Step 5: Solve for x
    x = 464,874,336,261.88/318,138.19
  6. Step 6: Final answer
    x = 1,461,234.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.