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Finding the Third Proportional to 218,038 and 467,600

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Solution

The third proportional to 218,038 and 467,600 is: 1,002,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,038 : 467,600 = 467,600 : x
  2. Step 2: Convert to fraction form
    218,038/467,600 = 467,600/x
  3. Step 3: Cross multiply
    218,038x = 467,600 × 467,600
  4. Step 4: Simplify right side
    218,038x = 218,649,760,000
  5. Step 5: Solve for x
    x = 218,649,760,000/218,038
  6. Step 6: Final answer
    x = 1,002,805.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.