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Finding the Third Proportional to 346.92 and 523.55

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Solution

The third proportional to 346.92 and 523.55 is: 790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 523.55 = 523.55 : x
  2. Step 2: Convert to fraction form
    346.92/523.55 = 523.55/x
  3. Step 3: Cross multiply
    346.92x = 523.55 × 523.55
  4. Step 4: Simplify right side
    346.92x = 274,101.33
  5. Step 5: Solve for x
    x = 274,101.33/346.92
  6. Step 6: Final answer
    x = 790.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.