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Finding the Third Proportional to 481,170 and 672,702

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Solution

The third proportional to 481,170 and 672,702 is: 940,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,170 : 672,702 = 672,702 : x
  2. Step 2: Convert to fraction form
    481,170/672,702 = 672,702/x
  3. Step 3: Cross multiply
    481,170x = 672,702 × 672,702
  4. Step 4: Simplify right side
    481,170x = 452,527,980,804
  5. Step 5: Solve for x
    x = 452,527,980,804/481,170
  6. Step 6: Final answer
    x = 940,474.22

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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.