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Finding the Third Proportional to 339,333 and 524,940

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Solution

The third proportional to 339,333 and 524,940 is: 812,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,333 : 524,940 = 524,940 : x
  2. Step 2: Convert to fraction form
    339,333/524,940 = 524,940/x
  3. Step 3: Cross multiply
    339,333x = 524,940 × 524,940
  4. Step 4: Simplify right side
    339,333x = 275,562,003,600
  5. Step 5: Solve for x
    x = 275,562,003,600/339,333
  6. Step 6: Final answer
    x = 812,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.