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Finding the Third Proportional to 420,324.75 and 669,147.75

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Solution

The third proportional to 420,324.75 and 669,147.75 is: 1,065,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,324.75 : 669,147.75 = 669,147.75 : x
  2. Step 2: Convert to fraction form
    420,324.75/669,147.75 = 669,147.75/x
  3. Step 3: Cross multiply
    420,324.75x = 669,147.75 × 669,147.75
  4. Step 4: Simplify right side
    420,324.75x = 447,758,711,330.06
  5. Step 5: Solve for x
    x = 447,758,711,330.06/420,324.75
  6. Step 6: Final answer
    x = 1,065,268.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.