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Finding the Third Proportional to 305,568 and 672,048

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Solution

The third proportional to 305,568 and 672,048 is: 1,478,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,568 : 672,048 = 672,048 : x
  2. Step 2: Convert to fraction form
    305,568/672,048 = 672,048/x
  3. Step 3: Cross multiply
    305,568x = 672,048 × 672,048
  4. Step 4: Simplify right side
    305,568x = 451,648,514,304
  5. Step 5: Solve for x
    x = 451,648,514,304/305,568
  6. Step 6: Final answer
    x = 1,478,062.21

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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.