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Finding the Third Proportional to 335,157 and 718,293

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Solution

The third proportional to 335,157 and 718,293 is: 1,539,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,157 : 718,293 = 718,293 : x
  2. Step 2: Convert to fraction form
    335,157/718,293 = 718,293/x
  3. Step 3: Cross multiply
    335,157x = 718,293 × 718,293
  4. Step 4: Simplify right side
    335,157x = 515,944,833,849
  5. Step 5: Solve for x
    x = 515,944,833,849/335,157
  6. Step 6: Final answer
    x = 1,539,412.38

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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.