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Finding the Third Proportional to 321,946.50 and 437,247

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Solution

The third proportional to 321,946.50 and 437,247 is: 593,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,946.50 : 437,247 = 437,247 : x
  2. Step 2: Convert to fraction form
    321,946.50/437,247 = 437,247/x
  3. Step 3: Cross multiply
    321,946.50x = 437,247 × 437,247
  4. Step 4: Simplify right side
    321,946.50x = 191,184,939,009
  5. Step 5: Solve for x
    x = 191,184,939,009/321,946.50
  6. Step 6: Final answer
    x = 593,840.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.