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Finding the Third Proportional to 335,135.25 and 718,241.63

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Solution

The third proportional to 335,135.25 and 718,241.63 is: 1,539,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,135.25 : 718,241.63 = 718,241.63 : x
  2. Step 2: Convert to fraction form
    335,135.25/718,241.63 = 718,241.63/x
  3. Step 3: Cross multiply
    335,135.25x = 718,241.63 × 718,241.63
  4. Step 4: Simplify right side
    335,135.25x = 515,871,031,882.64
  5. Step 5: Solve for x
    x = 515,871,031,882.64/335,135.25
  6. Step 6: Final answer
    x = 1,539,292.07

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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.