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Finding the Third Proportional to 659,603.25 and 985,506.75

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Solution

The third proportional to 659,603.25 and 985,506.75 is: 1,472,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,603.25 : 985,506.75 = 985,506.75 : x
  2. Step 2: Convert to fraction form
    659,603.25/985,506.75 = 985,506.75/x
  3. Step 3: Cross multiply
    659,603.25x = 985,506.75 × 985,506.75
  4. Step 4: Simplify right side
    659,603.25x = 971,223,554,295.56
  5. Step 5: Solve for x
    x = 971,223,554,295.56/659,603.25
  6. Step 6: Final answer
    x = 1,472,435.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.