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Finding the Third Proportional to 410.50 and 605.75

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Solution

The third proportional to 410.50 and 605.75 is: 893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 605.75 = 605.75 : x
  2. Step 2: Convert to fraction form
    410.50/605.75 = 605.75/x
  3. Step 3: Cross multiply
    410.50x = 605.75 × 605.75
  4. Step 4: Simplify right side
    410.50x = 366,933.06
  5. Step 5: Solve for x
    x = 366,933.06/410.50
  6. Step 6: Final answer
    x = 893.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.