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Finding the Third Proportional to 271,760 and 598,816

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Solution

The third proportional to 271,760 and 598,816 is: 1,319,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,760 : 598,816 = 598,816 : x
  2. Step 2: Convert to fraction form
    271,760/598,816 = 598,816/x
  3. Step 3: Cross multiply
    271,760x = 598,816 × 598,816
  4. Step 4: Simplify right side
    271,760x = 358,580,601,856
  5. Step 5: Solve for x
    x = 358,580,601,856/271,760
  6. Step 6: Final answer
    x = 1,319,475.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.