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Finding the Third Proportional to 281,369.25 and 573,147

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Solution

The third proportional to 281,369.25 and 573,147 is: 1,167,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,369.25 : 573,147 = 573,147 : x
  2. Step 2: Convert to fraction form
    281,369.25/573,147 = 573,147/x
  3. Step 3: Cross multiply
    281,369.25x = 573,147 × 573,147
  4. Step 4: Simplify right side
    281,369.25x = 328,497,483,609
  5. Step 5: Solve for x
    x = 328,497,483,609/281,369.25
  6. Step 6: Final answer
    x = 1,167,496.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.