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Finding the Third Proportional to 306,068 and 467,870

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Solution

The third proportional to 306,068 and 467,870 is: 715,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,068 : 467,870 = 467,870 : x
  2. Step 2: Convert to fraction form
    306,068/467,870 = 467,870/x
  3. Step 3: Cross multiply
    306,068x = 467,870 × 467,870
  4. Step 4: Simplify right side
    306,068x = 218,902,336,900
  5. Step 5: Solve for x
    x = 218,902,336,900/306,068
  6. Step 6: Final answer
    x = 715,208.18

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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.