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Finding the Third Proportional to 346.22 and 736.03

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Solution

The third proportional to 346.22 and 736.03 is: 1,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.22 : 736.03 = 736.03 : x
  2. Step 2: Convert to fraction form
    346.22/736.03 = 736.03/x
  3. Step 3: Cross multiply
    346.22x = 736.03 × 736.03
  4. Step 4: Simplify right side
    346.22x = 541,742.00
  5. Step 5: Solve for x
    x = 541,742.00/346.22
  6. Step 6: Final answer
    x = 1,564.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.