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Finding the Third Proportional to 537.94 and 734.16

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Solution

The third proportional to 537.94 and 734.16 is: 1,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.94 : 734.16 = 734.16 : x
  2. Step 2: Convert to fraction form
    537.94/734.16 = 734.16/x
  3. Step 3: Cross multiply
    537.94x = 734.16 × 734.16
  4. Step 4: Simplify right side
    537.94x = 538,985.40
  5. Step 5: Solve for x
    x = 538,985.40/537.94
  6. Step 6: Final answer
    x = 1,001.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.