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Finding the Third Proportional to 535,372 and 734,096

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Solution

The third proportional to 535,372 and 734,096 is: 1,006,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,372 : 734,096 = 734,096 : x
  2. Step 2: Convert to fraction form
    535,372/734,096 = 734,096/x
  3. Step 3: Cross multiply
    535,372x = 734,096 × 734,096
  4. Step 4: Simplify right side
    535,372x = 538,896,937,216
  5. Step 5: Solve for x
    x = 538,896,937,216/535,372
  6. Step 6: Final answer
    x = 1,006,584.09

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Why These Related Problems?

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