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Finding the Third Proportional to 734.44 and 929.53

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Solution

The third proportional to 734.44 and 929.53 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.44 : 929.53 = 929.53 : x
  2. Step 2: Convert to fraction form
    734.44/929.53 = 929.53/x
  3. Step 3: Cross multiply
    734.44x = 929.53 × 929.53
  4. Step 4: Simplify right side
    734.44x = 864,028.34
  5. Step 5: Solve for x
    x = 864,028.34/734.44
  6. Step 6: Final answer
    x = 1,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.