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Finding the Third Proportional to 230,328 and 500,000

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Solution

The third proportional to 230,328 and 500,000 is: 1,085,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,328 : 500,000 = 500,000 : x
  2. Step 2: Convert to fraction form
    230,328/500,000 = 500,000/x
  3. Step 3: Cross multiply
    230,328x = 500,000 × 500,000
  4. Step 4: Simplify right side
    230,328x = 250,000,000,000
  5. Step 5: Solve for x
    x = 250,000,000,000/230,328
  6. Step 6: Final answer
    x = 1,085,408.63

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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.