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Finding the Third Proportional to 474.50 and 829.75

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Solution

The third proportional to 474.50 and 829.75 is: 1,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 829.75 = 829.75 : x
  2. Step 2: Convert to fraction form
    474.50/829.75 = 829.75/x
  3. Step 3: Cross multiply
    474.50x = 829.75 × 829.75
  4. Step 4: Simplify right side
    474.50x = 688,485.06
  5. Step 5: Solve for x
    x = 688,485.06/474.50
  6. Step 6: Final answer
    x = 1,450.97

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.