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Finding the Third Proportional to 481,125 and 672,641

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Solution

The third proportional to 481,125 and 672,641 is: 940,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,125 : 672,641 = 672,641 : x
  2. Step 2: Convert to fraction form
    481,125/672,641 = 672,641/x
  3. Step 3: Cross multiply
    481,125x = 672,641 × 672,641
  4. Step 4: Simplify right side
    481,125x = 452,445,914,881
  5. Step 5: Solve for x
    x = 452,445,914,881/481,125
  6. Step 6: Final answer
    x = 940,391.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.