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Finding the Third Proportional to 338,048 and 506,016

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Solution

The third proportional to 338,048 and 506,016 is: 757,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,048 : 506,016 = 506,016 : x
  2. Step 2: Convert to fraction form
    338,048/506,016 = 506,016/x
  3. Step 3: Cross multiply
    338,048x = 506,016 × 506,016
  4. Step 4: Simplify right side
    338,048x = 256,052,192,256
  5. Step 5: Solve for x
    x = 256,052,192,256/338,048
  6. Step 6: Final answer
    x = 757,443.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.