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Finding the Third Proportional to 307,684 and 467,302

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Solution

The third proportional to 307,684 and 467,302 is: 709,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,684 : 467,302 = 467,302 : x
  2. Step 2: Convert to fraction form
    307,684/467,302 = 467,302/x
  3. Step 3: Cross multiply
    307,684x = 467,302 × 467,302
  4. Step 4: Simplify right side
    307,684x = 218,371,159,204
  5. Step 5: Solve for x
    x = 218,371,159,204/307,684
  6. Step 6: Final answer
    x = 709,725.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.