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Finding the Third Proportional to 551,367.84 and 843,272.02

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Solution

The third proportional to 551,367.84 and 843,272.02 is: 1,289,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,367.84 : 843,272.02 = 843,272.02 : x
  2. Step 2: Convert to fraction form
    551,367.84/843,272.02 = 843,272.02/x
  3. Step 3: Cross multiply
    551,367.84x = 843,272.02 × 843,272.02
  4. Step 4: Simplify right side
    551,367.84x = 711,107,692,336.25
  5. Step 5: Solve for x
    x = 711,107,692,336.25/551,367.84
  6. Step 6: Final answer
    x = 1,289,715.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.