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Finding the Third Proportional to 346.78 and 531.56

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Solution

The third proportional to 346.78 and 531.56 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.78 : 531.56 = 531.56 : x
  2. Step 2: Convert to fraction form
    346.78/531.56 = 531.56/x
  3. Step 3: Cross multiply
    346.78x = 531.56 × 531.56
  4. Step 4: Simplify right side
    346.78x = 282,558.69
  5. Step 5: Solve for x
    x = 282,558.69/346.78
  6. Step 6: Final answer
    x = 814.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.