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Finding the Third Proportional to 312,270 and 467,550

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Solution

The third proportional to 312,270 and 467,550 is: 700,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,270 : 467,550 = 467,550 : x
  2. Step 2: Convert to fraction form
    312,270/467,550 = 467,550/x
  3. Step 3: Cross multiply
    312,270x = 467,550 × 467,550
  4. Step 4: Simplify right side
    312,270x = 218,603,002,500
  5. Step 5: Solve for x
    x = 218,603,002,500/312,270
  6. Step 6: Final answer
    x = 700,044.84

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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.