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Finding the Third Proportional to 312,141 and 467,356

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Solution

The third proportional to 312,141 and 467,356 is: 699,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,141 : 467,356 = 467,356 : x
  2. Step 2: Convert to fraction form
    312,141/467,356 = 467,356/x
  3. Step 3: Cross multiply
    312,141x = 467,356 × 467,356
  4. Step 4: Simplify right side
    312,141x = 218,421,630,736
  5. Step 5: Solve for x
    x = 218,421,630,736/312,141
  6. Step 6: Final answer
    x = 699,753.09

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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.