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Finding the Third Proportional to 312,676.88 and 681,809.06

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Solution

The third proportional to 312,676.88 and 681,809.06 is: 1,486,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,676.88 : 681,809.06 = 681,809.06 : x
  2. Step 2: Convert to fraction form
    312,676.88/681,809.06 = 681,809.06/x
  3. Step 3: Cross multiply
    312,676.88x = 681,809.06 × 681,809.06
  4. Step 4: Simplify right side
    312,676.88x = 464,863,597,707.13
  5. Step 5: Solve for x
    x = 464,863,597,707.13/312,676.88
  6. Step 6: Final answer
    x = 1,486,722.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.