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Finding the Third Proportional to 304,298 and 445,179

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Solution

The third proportional to 304,298 and 445,179 is: 651,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,298 : 445,179 = 445,179 : x
  2. Step 2: Convert to fraction form
    304,298/445,179 = 445,179/x
  3. Step 3: Cross multiply
    304,298x = 445,179 × 445,179
  4. Step 4: Simplify right side
    304,298x = 198,184,342,041
  5. Step 5: Solve for x
    x = 198,184,342,041/304,298
  6. Step 6: Final answer
    x = 651,283.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.