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Finding the Third Proportional to 304,794 and 659,700

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Solution

The third proportional to 304,794 and 659,700 is: 1,427,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,794 : 659,700 = 659,700 : x
  2. Step 2: Convert to fraction form
    304,794/659,700 = 659,700/x
  3. Step 3: Cross multiply
    304,794x = 659,700 × 659,700
  4. Step 4: Simplify right side
    304,794x = 435,204,090,000
  5. Step 5: Solve for x
    x = 435,204,090,000/304,794
  6. Step 6: Final answer
    x = 1,427,863.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.