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Finding the Third Proportional to 304,009 and 659,940

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Solution

The third proportional to 304,009 and 659,940 is: 1,432,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,009 : 659,940 = 659,940 : x
  2. Step 2: Convert to fraction form
    304,009/659,940 = 659,940/x
  3. Step 3: Cross multiply
    304,009x = 659,940 × 659,940
  4. Step 4: Simplify right side
    304,009x = 435,520,803,600
  5. Step 5: Solve for x
    x = 435,520,803,600/304,009
  6. Step 6: Final answer
    x = 1,432,591.81

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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.