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Finding the Third Proportional to 339,233 and 460,707

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Solution

The third proportional to 339,233 and 460,707 is: 625,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,233 : 460,707 = 460,707 : x
  2. Step 2: Convert to fraction form
    339,233/460,707 = 460,707/x
  3. Step 3: Cross multiply
    339,233x = 460,707 × 460,707
  4. Step 4: Simplify right side
    339,233x = 212,250,939,849
  5. Step 5: Solve for x
    x = 212,250,939,849/339,233
  6. Step 6: Final answer
    x = 625,678.93

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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.