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Finding the Third Proportional to 525.56 and 824.44

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Solution

The third proportional to 525.56 and 824.44 is: 1,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 824.44 = 824.44 : x
  2. Step 2: Convert to fraction form
    525.56/824.44 = 824.44/x
  3. Step 3: Cross multiply
    525.56x = 824.44 × 824.44
  4. Step 4: Simplify right side
    525.56x = 679,697.19
  5. Step 5: Solve for x
    x = 679,697.19/525.56
  6. Step 6: Final answer
    x = 1,293.28

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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.