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Finding the Third Proportional to 339,234 and 460,706

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Solution

The third proportional to 339,234 and 460,706 is: 625,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,234 : 460,706 = 460,706 : x
  2. Step 2: Convert to fraction form
    339,234/460,706 = 460,706/x
  3. Step 3: Cross multiply
    339,234x = 460,706 × 460,706
  4. Step 4: Simplify right side
    339,234x = 212,250,018,436
  5. Step 5: Solve for x
    x = 212,250,018,436/339,234
  6. Step 6: Final answer
    x = 625,674.37

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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.