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Finding the Third Proportional to 339,008 and 743,140

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Solution

The third proportional to 339,008 and 743,140 is: 1,629,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,008 : 743,140 = 743,140 : x
  2. Step 2: Convert to fraction form
    339,008/743,140 = 743,140/x
  3. Step 3: Cross multiply
    339,008x = 743,140 × 743,140
  4. Step 4: Simplify right side
    339,008x = 552,257,059,600
  5. Step 5: Solve for x
    x = 552,257,059,600/339,008
  6. Step 6: Final answer
    x = 1,629,038.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.