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Finding the Third Proportional to 255,568.50 and 396,856.13

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Solution

The third proportional to 255,568.50 and 396,856.13 is: 616,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,568.50 : 396,856.13 = 396,856.13 : x
  2. Step 2: Convert to fraction form
    255,568.50/396,856.13 = 396,856.13/x
  3. Step 3: Cross multiply
    255,568.50x = 396,856.13 × 396,856.13
  4. Step 4: Simplify right side
    255,568.50x = 157,494,783,950.02
  5. Step 5: Solve for x
    x = 157,494,783,950.02/255,568.50
  6. Step 6: Final answer
    x = 616,252.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.