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Finding the Third Proportional to 335,380 and 498,512

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Solution

The third proportional to 335,380 and 498,512 is: 740,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,380 : 498,512 = 498,512 : x
  2. Step 2: Convert to fraction form
    335,380/498,512 = 498,512/x
  3. Step 3: Cross multiply
    335,380x = 498,512 × 498,512
  4. Step 4: Simplify right side
    335,380x = 248,514,214,144
  5. Step 5: Solve for x
    x = 248,514,214,144/335,380
  6. Step 6: Final answer
    x = 740,992.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.