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Finding the Third Proportional to 406.50 and 612.75

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Solution

The third proportional to 406.50 and 612.75 is: 923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 612.75 = 612.75 : x
  2. Step 2: Convert to fraction form
    406.50/612.75 = 612.75/x
  3. Step 3: Cross multiply
    406.50x = 612.75 × 612.75
  4. Step 4: Simplify right side
    406.50x = 375,462.56
  5. Step 5: Solve for x
    x = 375,462.56/406.50
  6. Step 6: Final answer
    x = 923.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.