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Finding the Third Proportional to 434.63 and 525.94

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Solution

The third proportional to 434.63 and 525.94 is: 636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 525.94 = 525.94 : x
  2. Step 2: Convert to fraction form
    434.63/525.94 = 525.94/x
  3. Step 3: Cross multiply
    434.63x = 525.94 × 525.94
  4. Step 4: Simplify right side
    434.63x = 276,610.25
  5. Step 5: Solve for x
    x = 276,610.25/434.63
  6. Step 6: Final answer
    x = 636.43

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.