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Finding the Third Proportional to 321.50 and 456

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Solution

The third proportional to 321.50 and 456 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.50 : 456 = 456 : x
  2. Step 2: Convert to fraction form
    321.50/456 = 456/x
  3. Step 3: Cross multiply
    321.50x = 456 × 456
  4. Step 4: Simplify right side
    321.50x = 207,936
  5. Step 5: Solve for x
    x = 207,936/321.50
  6. Step 6: Final answer
    x = 646.77

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.