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Finding the Third Proportional to 525.94 and 724.50

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Solution

The third proportional to 525.94 and 724.50 is: 998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.94 : 724.50 = 724.50 : x
  2. Step 2: Convert to fraction form
    525.94/724.50 = 724.50/x
  3. Step 3: Cross multiply
    525.94x = 724.50 × 724.50
  4. Step 4: Simplify right side
    525.94x = 524,900.25
  5. Step 5: Solve for x
    x = 524,900.25/525.94
  6. Step 6: Final answer
    x = 998.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.