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Finding the Third Proportional to 325,657.97 and 707,016.09

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Solution

The third proportional to 325,657.97 and 707,016.09 is: 1,534,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,657.97 : 707,016.09 = 707,016.09 : x
  2. Step 2: Convert to fraction form
    325,657.97/707,016.09 = 707,016.09/x
  3. Step 3: Cross multiply
    325,657.97x = 707,016.09 × 707,016.09
  4. Step 4: Simplify right side
    325,657.97x = 499,871,756,821.51
  5. Step 5: Solve for x
    x = 499,871,756,821.51/325,657.97
  6. Step 6: Final answer
    x = 1,534,959.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.