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Finding the Third Proportional to 346.29 and 746.93

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Solution

The third proportional to 346.29 and 746.93 is: 1,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 746.93 = 746.93 : x
  2. Step 2: Convert to fraction form
    346.29/746.93 = 746.93/x
  3. Step 3: Cross multiply
    346.29x = 746.93 × 746.93
  4. Step 4: Simplify right side
    346.29x = 557,903.96
  5. Step 5: Solve for x
    x = 557,903.96/346.29
  6. Step 6: Final answer
    x = 1,611.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.