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Finding the Third Proportional to 535,077.75 and 733,725.75

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Solution

The third proportional to 535,077.75 and 733,725.75 is: 1,006,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,077.75 : 733,725.75 = 733,725.75 : x
  2. Step 2: Convert to fraction form
    535,077.75/733,725.75 = 733,725.75/x
  3. Step 3: Cross multiply
    535,077.75x = 733,725.75 × 733,725.75
  4. Step 4: Simplify right side
    535,077.75x = 538,353,476,213.06
  5. Step 5: Solve for x
    x = 538,353,476,213.06/535,077.75
  6. Step 6: Final answer
    x = 1,006,121.96

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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.