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Finding the Third Proportional to 323,064 and 662,247

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Solution

The third proportional to 323,064 and 662,247 is: 1,357,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,064 : 662,247 = 662,247 : x
  2. Step 2: Convert to fraction form
    323,064/662,247 = 662,247/x
  3. Step 3: Cross multiply
    323,064x = 662,247 × 662,247
  4. Step 4: Simplify right side
    323,064x = 438,571,089,009
  5. Step 5: Solve for x
    x = 438,571,089,009/323,064
  6. Step 6: Final answer
    x = 1,357,536.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.