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Finding the Third Proportional to 281,298 and 573,039

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Solution

The third proportional to 281,298 and 573,039 is: 1,167,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,298 : 573,039 = 573,039 : x
  2. Step 2: Convert to fraction form
    281,298/573,039 = 573,039/x
  3. Step 3: Cross multiply
    281,298x = 573,039 × 573,039
  4. Step 4: Simplify right side
    281,298x = 328,373,695,521
  5. Step 5: Solve for x
    x = 328,373,695,521/281,298
  6. Step 6: Final answer
    x = 1,167,351.69

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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.