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Finding the Third Proportional to 281,288 and 573,020

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Solution

The third proportional to 281,288 and 573,020 is: 1,167,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,288 : 573,020 = 573,020 : x
  2. Step 2: Convert to fraction form
    281,288/573,020 = 573,020/x
  3. Step 3: Cross multiply
    281,288x = 573,020 × 573,020
  4. Step 4: Simplify right side
    281,288x = 328,351,920,400
  5. Step 5: Solve for x
    x = 328,351,920,400/281,288
  6. Step 6: Final answer
    x = 1,167,315.78

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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.