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Finding the Third Proportional to 346.78 and 528.19

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Solution

The third proportional to 346.78 and 528.19 is: 804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 528.19 = 528.19 : x
  2. Step 2: Convert to fraction form
    346.78/528.19 = 528.19/x
  3. Step 3: Cross multiply
    346.78x = 528.19 × 528.19
  4. Step 4: Simplify right side
    346.78x = 278,982.04
  5. Step 5: Solve for x
    x = 278,982.04/346.78
  6. Step 6: Final answer
    x = 804.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.