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Finding the Third Proportional to 504.38 and 792.94

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Solution

The third proportional to 504.38 and 792.94 is: 1,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 792.94 = 792.94 : x
  2. Step 2: Convert to fraction form
    504.38/792.94 = 792.94/x
  3. Step 3: Cross multiply
    504.38x = 792.94 × 792.94
  4. Step 4: Simplify right side
    504.38x = 628,749.88
  5. Step 5: Solve for x
    x = 628,749.88/504.38
  6. Step 6: Final answer
    x = 1,246.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.