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Finding the Third Proportional to 335,117.25 and 718,206.75

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Solution

The third proportional to 335,117.25 and 718,206.75 is: 1,539,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,117.25 : 718,206.75 = 718,206.75 : x
  2. Step 2: Convert to fraction form
    335,117.25/718,206.75 = 718,206.75/x
  3. Step 3: Cross multiply
    335,117.25x = 718,206.75 × 718,206.75
  4. Step 4: Simplify right side
    335,117.25x = 515,820,935,745.56
  5. Step 5: Solve for x
    x = 515,820,935,745.56/335,117.25
  6. Step 6: Final answer
    x = 1,539,225.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.