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Finding the Third Proportional to 342,011 and 743,062

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Solution

The third proportional to 342,011 and 743,062 is: 1,614,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,011 : 743,062 = 743,062 : x
  2. Step 2: Convert to fraction form
    342,011/743,062 = 743,062/x
  3. Step 3: Cross multiply
    342,011x = 743,062 × 743,062
  4. Step 4: Simplify right side
    342,011x = 552,141,135,844
  5. Step 5: Solve for x
    x = 552,141,135,844/342,011
  6. Step 6: Final answer
    x = 1,614,395.84

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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.