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Finding the Third Proportional to 312,180 and 467,018

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Solution

The third proportional to 312,180 and 467,018 is: 698,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,180 : 467,018 = 467,018 : x
  2. Step 2: Convert to fraction form
    312,180/467,018 = 467,018/x
  3. Step 3: Cross multiply
    312,180x = 467,018 × 467,018
  4. Step 4: Simplify right side
    312,180x = 218,105,812,324
  5. Step 5: Solve for x
    x = 218,105,812,324/312,180
  6. Step 6: Final answer
    x = 698,654.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.