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Finding the Third Proportional to 538.84 and 701.63

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Solution

The third proportional to 538.84 and 701.63 is: 913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.84 : 701.63 = 701.63 : x
  2. Step 2: Convert to fraction form
    538.84/701.63 = 701.63/x
  3. Step 3: Cross multiply
    538.84x = 701.63 × 701.63
  4. Step 4: Simplify right side
    538.84x = 492,285.86
  5. Step 5: Solve for x
    x = 492,285.86/538.84
  6. Step 6: Final answer
    x = 913.60

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.