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Finding the Third Proportional to 306,054 and 467,849

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Solution

The third proportional to 306,054 and 467,849 is: 715,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,054 : 467,849 = 467,849 : x
  2. Step 2: Convert to fraction form
    306,054/467,849 = 467,849/x
  3. Step 3: Cross multiply
    306,054x = 467,849 × 467,849
  4. Step 4: Simplify right side
    306,054x = 218,882,686,801
  5. Step 5: Solve for x
    x = 218,882,686,801/306,054
  6. Step 6: Final answer
    x = 715,176.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.