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Finding the Third Proportional to 431,704 and 675,736

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Solution

The third proportional to 431,704 and 675,736 is: 1,057,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704 : 675,736 = 675,736 : x
  2. Step 2: Convert to fraction form
    431,704/675,736 = 675,736/x
  3. Step 3: Cross multiply
    431,704x = 675,736 × 675,736
  4. Step 4: Simplify right side
    431,704x = 456,619,141,696
  5. Step 5: Solve for x
    x = 456,619,141,696/431,704
  6. Step 6: Final answer
    x = 1,057,713.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.