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Finding the Third Proportional to 306,052 and 467,846

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Solution

The third proportional to 306,052 and 467,846 is: 715,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,052 : 467,846 = 467,846 : x
  2. Step 2: Convert to fraction form
    306,052/467,846 = 467,846/x
  3. Step 3: Cross multiply
    306,052x = 467,846 × 467,846
  4. Step 4: Simplify right side
    306,052x = 218,879,879,716
  5. Step 5: Solve for x
    x = 218,879,879,716/306,052
  6. Step 6: Final answer
    x = 715,172.19

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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.