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Finding the Third Proportional to 335,281.75 and 718,502.75

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Solution

The third proportional to 335,281.75 and 718,502.75 is: 1,539,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,281.75 : 718,502.75 = 718,502.75 : x
  2. Step 2: Convert to fraction form
    335,281.75/718,502.75 = 718,502.75/x
  3. Step 3: Cross multiply
    335,281.75x = 718,502.75 × 718,502.75
  4. Step 4: Simplify right side
    335,281.75x = 516,246,201,757.56
  5. Step 5: Solve for x
    x = 516,246,201,757.56/335,281.75
  6. Step 6: Final answer
    x = 1,539,738.45

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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.