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Finding the Third Proportional to 451 and 581.50

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Solution

The third proportional to 451 and 581.50 is: 749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 581.50 = 581.50 : x
  2. Step 2: Convert to fraction form
    451/581.50 = 581.50/x
  3. Step 3: Cross multiply
    451x = 581.50 × 581.50
  4. Step 4: Simplify right side
    451x = 338,142.25
  5. Step 5: Solve for x
    x = 338,142.25/451
  6. Step 6: Final answer
    x = 749.76

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.