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Finding the Third Proportional to 304,006 and 659,933

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Solution

The third proportional to 304,006 and 659,933 is: 1,432,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,006 : 659,933 = 659,933 : x
  2. Step 2: Convert to fraction form
    304,006/659,933 = 659,933/x
  3. Step 3: Cross multiply
    304,006x = 659,933 × 659,933
  4. Step 4: Simplify right side
    304,006x = 435,511,564,489
  5. Step 5: Solve for x
    x = 435,511,564,489/304,006
  6. Step 6: Final answer
    x = 1,432,575.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.