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Finding the Third Proportional to 346.97 and 732.92

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Solution

The third proportional to 346.97 and 732.92 is: 1,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 732.92 = 732.92 : x
  2. Step 2: Convert to fraction form
    346.97/732.92 = 732.92/x
  3. Step 3: Cross multiply
    346.97x = 732.92 × 732.92
  4. Step 4: Simplify right side
    346.97x = 537,165.17
  5. Step 5: Solve for x
    x = 537,165.17/346.97
  6. Step 6: Final answer
    x = 1,548.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.