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Finding the Third Proportional to 303,291 and 467,586

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Solution

The third proportional to 303,291 and 467,586 is: 720,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,291 : 467,586 = 467,586 : x
  2. Step 2: Convert to fraction form
    303,291/467,586 = 467,586/x
  3. Step 3: Cross multiply
    303,291x = 467,586 × 467,586
  4. Step 4: Simplify right side
    303,291x = 218,636,667,396
  5. Step 5: Solve for x
    x = 218,636,667,396/303,291
  6. Step 6: Final answer
    x = 720,880.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.