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Finding the Third Proportional to 281,806.88 and 664,853.63

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Solution

The third proportional to 281,806.88 and 664,853.63 is: 1,568,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806.88 : 664,853.63 = 664,853.63 : x
  2. Step 2: Convert to fraction form
    281,806.88/664,853.63 = 664,853.63/x
  3. Step 3: Cross multiply
    281,806.88x = 664,853.63 × 664,853.63
  4. Step 4: Simplify right side
    281,806.88x = 442,030,342,675.64
  5. Step 5: Solve for x
    x = 442,030,342,675.64/281,806.88
  6. Step 6: Final answer
    x = 1,568,557.70

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.