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Finding the Third Proportional to 280,397 and 595,847

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Solution

The third proportional to 280,397 and 595,847 is: 1,266,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,397 : 595,847 = 595,847 : x
  2. Step 2: Convert to fraction form
    280,397/595,847 = 595,847/x
  3. Step 3: Cross multiply
    280,397x = 595,847 × 595,847
  4. Step 4: Simplify right side
    280,397x = 355,033,647,409
  5. Step 5: Solve for x
    x = 355,033,647,409/280,397
  6. Step 6: Final answer
    x = 1,266,182.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.