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Finding the Third Proportional to 465,573 and 743,863.50

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Solution

The third proportional to 465,573 and 743,863.50 is: 1,188,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,573 : 743,863.50 = 743,863.50 : x
  2. Step 2: Convert to fraction form
    465,573/743,863.50 = 743,863.50/x
  3. Step 3: Cross multiply
    465,573x = 743,863.50 × 743,863.50
  4. Step 4: Simplify right side
    465,573x = 553,332,906,632.25
  5. Step 5: Solve for x
    x = 553,332,906,632.25/465,573
  6. Step 6: Final answer
    x = 1,188,498.70

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.