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Finding the Third Proportional to 344.81 and 525.94

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Solution

The third proportional to 344.81 and 525.94 is: 802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 525.94 = 525.94 : x
  2. Step 2: Convert to fraction form
    344.81/525.94 = 525.94/x
  3. Step 3: Cross multiply
    344.81x = 525.94 × 525.94
  4. Step 4: Simplify right side
    344.81x = 276,610.25
  5. Step 5: Solve for x
    x = 276,610.25/344.81
  6. Step 6: Final answer
    x = 802.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.