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Finding the Third Proportional to 517,814 and 699,600

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Solution

The third proportional to 517,814 and 699,600 is: 945,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,814 : 699,600 = 699,600 : x
  2. Step 2: Convert to fraction form
    517,814/699,600 = 699,600/x
  3. Step 3: Cross multiply
    517,814x = 699,600 × 699,600
  4. Step 4: Simplify right side
    517,814x = 489,440,160,000
  5. Step 5: Solve for x
    x = 489,440,160,000/517,814
  6. Step 6: Final answer
    x = 945,204.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.