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Finding the Third Proportional to 335,132 and 718,238

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Solution

The third proportional to 335,132 and 718,238 is: 1,539,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,132 : 718,238 = 718,238 : x
  2. Step 2: Convert to fraction form
    335,132/718,238 = 718,238/x
  3. Step 3: Cross multiply
    335,132x = 718,238 × 718,238
  4. Step 4: Simplify right side
    335,132x = 515,865,824,644
  5. Step 5: Solve for x
    x = 515,865,824,644/335,132
  6. Step 6: Final answer
    x = 1,539,291.46

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Why These Related Problems?

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