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Finding the Third Proportional to 339,024 and 460,434

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Solution

The third proportional to 339,024 and 460,434 is: 625,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,024 : 460,434 = 460,434 : x
  2. Step 2: Convert to fraction form
    339,024/460,434 = 460,434/x
  3. Step 3: Cross multiply
    339,024x = 460,434 × 460,434
  4. Step 4: Simplify right side
    339,024x = 211,999,468,356
  5. Step 5: Solve for x
    x = 211,999,468,356/339,024
  6. Step 6: Final answer
    x = 625,322.89

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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.