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Finding the Third Proportional to 481,132 and 672,653

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Solution

The third proportional to 481,132 and 672,653 is: 940,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,132 : 672,653 = 672,653 : x
  2. Step 2: Convert to fraction form
    481,132/672,653 = 672,653/x
  3. Step 3: Cross multiply
    481,132x = 672,653 × 672,653
  4. Step 4: Simplify right side
    481,132x = 452,462,058,409
  5. Step 5: Solve for x
    x = 452,462,058,409/481,132
  6. Step 6: Final answer
    x = 940,411.48

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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.