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Finding the Third Proportional to 281,302 and 573,048

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Solution

The third proportional to 281,302 and 573,048 is: 1,167,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,302 : 573,048 = 573,048 : x
  2. Step 2: Convert to fraction form
    281,302/573,048 = 573,048/x
  3. Step 3: Cross multiply
    281,302x = 573,048 × 573,048
  4. Step 4: Simplify right side
    281,302x = 328,384,010,304
  5. Step 5: Solve for x
    x = 328,384,010,304/281,302
  6. Step 6: Final answer
    x = 1,167,371.76

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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.