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Finding the Third Proportional to 322,893 and 443,245.50

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Solution

The third proportional to 322,893 and 443,245.50 is: 608,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,893 : 443,245.50 = 443,245.50 : x
  2. Step 2: Convert to fraction form
    322,893/443,245.50 = 443,245.50/x
  3. Step 3: Cross multiply
    322,893x = 443,245.50 × 443,245.50
  4. Step 4: Simplify right side
    322,893x = 196,466,573,270.25
  5. Step 5: Solve for x
    x = 196,466,573,270.25/322,893
  6. Step 6: Final answer
    x = 608,457.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.