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Finding the Third Proportional to 304,005 and 659,932

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Solution

The third proportional to 304,005 and 659,932 is: 1,432,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,005 : 659,932 = 659,932 : x
  2. Step 2: Convert to fraction form
    304,005/659,932 = 659,932/x
  3. Step 3: Cross multiply
    304,005x = 659,932 × 659,932
  4. Step 4: Simplify right side
    304,005x = 435,510,244,624
  5. Step 5: Solve for x
    x = 435,510,244,624/304,005
  6. Step 6: Final answer
    x = 1,432,575.93

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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.