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Finding the Third Proportional to 281,296 and 573,036

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Solution

The third proportional to 281,296 and 573,036 is: 1,167,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,296 : 573,036 = 573,036 : x
  2. Step 2: Convert to fraction form
    281,296/573,036 = 573,036/x
  3. Step 3: Cross multiply
    281,296x = 573,036 × 573,036
  4. Step 4: Simplify right side
    281,296x = 328,370,257,296
  5. Step 5: Solve for x
    x = 328,370,257,296/281,296
  6. Step 6: Final answer
    x = 1,167,347.77

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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.