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Finding the Third Proportional to 512,371 and 818,524.50

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Solution

The third proportional to 512,371 and 818,524.50 is: 1,307,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,371 : 818,524.50 = 818,524.50 : x
  2. Step 2: Convert to fraction form
    512,371/818,524.50 = 818,524.50/x
  3. Step 3: Cross multiply
    512,371x = 818,524.50 × 818,524.50
  4. Step 4: Simplify right side
    512,371x = 669,982,357,100.25
  5. Step 5: Solve for x
    x = 669,982,357,100.25/512,371
  6. Step 6: Final answer
    x = 1,307,611.78

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.