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Finding the Third Proportional to 397,363.50 and 865,662

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Solution

The third proportional to 397,363.50 and 865,662 is: 1,885,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,363.50 : 865,662 = 865,662 : x
  2. Step 2: Convert to fraction form
    397,363.50/865,662 = 865,662/x
  3. Step 3: Cross multiply
    397,363.50x = 865,662 × 865,662
  4. Step 4: Simplify right side
    397,363.50x = 749,370,698,244
  5. Step 5: Solve for x
    x = 749,370,698,244/397,363.50
  6. Step 6: Final answer
    x = 1,885,856.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.