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Finding the Third Proportional to 525.56 and 798.84

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Solution

The third proportional to 525.56 and 798.84 is: 1,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 798.84 = 798.84 : x
  2. Step 2: Convert to fraction form
    525.56/798.84 = 798.84/x
  3. Step 3: Cross multiply
    525.56x = 798.84 × 798.84
  4. Step 4: Simplify right side
    525.56x = 638,151.34
  5. Step 5: Solve for x
    x = 638,151.34/525.56
  6. Step 6: Final answer
    x = 1,214.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.