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Finding the Third Proportional to 339,225 and 460,695

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Solution

The third proportional to 339,225 and 460,695 is: 625,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,225 : 460,695 = 460,695 : x
  2. Step 2: Convert to fraction form
    339,225/460,695 = 460,695/x
  3. Step 3: Cross multiply
    339,225x = 460,695 × 460,695
  4. Step 4: Simplify right side
    339,225x = 212,239,883,025
  5. Step 5: Solve for x
    x = 212,239,883,025/339,225
  6. Step 6: Final answer
    x = 625,661.09

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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.