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Finding the Third Proportional to 339,092 and 460,536

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Solution

The third proportional to 339,092 and 460,536 is: 625,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,092 : 460,536 = 460,536 : x
  2. Step 2: Convert to fraction form
    339,092/460,536 = 460,536/x
  3. Step 3: Cross multiply
    339,092x = 460,536 × 460,536
  4. Step 4: Simplify right side
    339,092x = 212,093,407,296
  5. Step 5: Solve for x
    x = 212,093,407,296/339,092
  6. Step 6: Final answer
    x = 625,474.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.