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Finding the Third Proportional to 346.46 and 757.48

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Solution

The third proportional to 346.46 and 757.48 is: 1,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 757.48 = 757.48 : x
  2. Step 2: Convert to fraction form
    346.46/757.48 = 757.48/x
  3. Step 3: Cross multiply
    346.46x = 757.48 × 757.48
  4. Step 4: Simplify right side
    346.46x = 573,770.74
  5. Step 5: Solve for x
    x = 573,770.74/346.46
  6. Step 6: Final answer
    x = 1,656.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.