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Finding the Third Proportional to 424,824.75 and 690,135.19

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Solution

The third proportional to 424,824.75 and 690,135.19 is: 1,121,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824.75 : 690,135.19 = 690,135.19 : x
  2. Step 2: Convert to fraction form
    424,824.75/690,135.19 = 690,135.19/x
  3. Step 3: Cross multiply
    424,824.75x = 690,135.19 × 690,135.19
  4. Step 4: Simplify right side
    424,824.75x = 476,286,577,025.66
  5. Step 5: Solve for x
    x = 476,286,577,025.66/424,824.75
  6. Step 6: Final answer
    x = 1,121,136.60

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.