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Finding the Third Proportional to 281,787 and 664,513.50

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Solution

The third proportional to 281,787 and 664,513.50 is: 1,567,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,787 : 664,513.50 = 664,513.50 : x
  2. Step 2: Convert to fraction form
    281,787/664,513.50 = 664,513.50/x
  3. Step 3: Cross multiply
    281,787x = 664,513.50 × 664,513.50
  4. Step 4: Simplify right side
    281,787x = 441,578,191,682.25
  5. Step 5: Solve for x
    x = 441,578,191,682.25/281,787
  6. Step 6: Final answer
    x = 1,567,063.75

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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.