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Finding the Third Proportional to 397,166.50 and 864,221

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Solution

The third proportional to 397,166.50 and 864,221 is: 1,880,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,166.50 : 864,221 = 864,221 : x
  2. Step 2: Convert to fraction form
    397,166.50/864,221 = 864,221/x
  3. Step 3: Cross multiply
    397,166.50x = 864,221 × 864,221
  4. Step 4: Simplify right side
    397,166.50x = 746,877,936,841
  5. Step 5: Solve for x
    x = 746,877,936,841/397,166.50
  6. Step 6: Final answer
    x = 1,880,515.95

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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.