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Finding the Third Proportional to 342,460.62 and 743,278.15

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Solution

The third proportional to 342,460.62 and 743,278.15 is: 1,613,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,460.62 : 743,278.15 = 743,278.15 : x
  2. Step 2: Convert to fraction form
    342,460.62/743,278.15 = 743,278.15/x
  3. Step 3: Cross multiply
    342,460.62x = 743,278.15 × 743,278.15
  4. Step 4: Simplify right side
    342,460.62x = 552,462,405,944.68
  5. Step 5: Solve for x
    x = 552,462,405,944.68/342,460.62
  6. Step 6: Final answer
    x = 1,613,214.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.