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Finding the Third Proportional to 281,236 and 595,520

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Solution

The third proportional to 281,236 and 595,520 is: 1,261,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,236 : 595,520 = 595,520 : x
  2. Step 2: Convert to fraction form
    281,236/595,520 = 595,520/x
  3. Step 3: Cross multiply
    281,236x = 595,520 × 595,520
  4. Step 4: Simplify right side
    281,236x = 354,644,070,400
  5. Step 5: Solve for x
    x = 354,644,070,400/281,236
  6. Step 6: Final answer
    x = 1,261,019.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.