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Finding the Third Proportional to 304,360 and 617,936

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Solution

The third proportional to 304,360 and 617,936 is: 1,254,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,360 : 617,936 = 617,936 : x
  2. Step 2: Convert to fraction form
    304,360/617,936 = 617,936/x
  3. Step 3: Cross multiply
    304,360x = 617,936 × 617,936
  4. Step 4: Simplify right side
    304,360x = 381,844,900,096
  5. Step 5: Solve for x
    x = 381,844,900,096/304,360
  6. Step 6: Final answer
    x = 1,254,583.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.