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Finding the Third Proportional to 323,007.75 and 662,134.50

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Solution

The third proportional to 323,007.75 and 662,134.50 is: 1,357,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,007.75 : 662,134.50 = 662,134.50 : x
  2. Step 2: Convert to fraction form
    323,007.75/662,134.50 = 662,134.50/x
  3. Step 3: Cross multiply
    323,007.75x = 662,134.50 × 662,134.50
  4. Step 4: Simplify right side
    323,007.75x = 438,422,096,090.25
  5. Step 5: Solve for x
    x = 438,422,096,090.25/323,007.75
  6. Step 6: Final answer
    x = 1,357,311.38

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