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Finding the Third Proportional to 658,806.75 and 967,433.25

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Solution

The third proportional to 658,806.75 and 967,433.25 is: 1,420,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,806.75 : 967,433.25 = 967,433.25 : x
  2. Step 2: Convert to fraction form
    658,806.75/967,433.25 = 967,433.25/x
  3. Step 3: Cross multiply
    658,806.75x = 967,433.25 × 967,433.25
  4. Step 4: Simplify right side
    658,806.75x = 935,927,093,205.56
  5. Step 5: Solve for x
    x = 935,927,093,205.56/658,806.75
  6. Step 6: Final answer
    x = 1,420,639.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.