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Finding the Third Proportional to 339,912 and 460,007

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Solution

The third proportional to 339,912 and 460,007 is: 622,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,912 : 460,007 = 460,007 : x
  2. Step 2: Convert to fraction form
    339,912/460,007 = 460,007/x
  3. Step 3: Cross multiply
    339,912x = 460,007 × 460,007
  4. Step 4: Simplify right side
    339,912x = 211,606,440,049
  5. Step 5: Solve for x
    x = 211,606,440,049/339,912
  6. Step 6: Final answer
    x = 622,533.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.