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Finding the Third Proportional to 410.50 and 609.75

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Solution

The third proportional to 410.50 and 609.75 is: 905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 609.75 = 609.75 : x
  2. Step 2: Convert to fraction form
    410.50/609.75 = 609.75/x
  3. Step 3: Cross multiply
    410.50x = 609.75 × 609.75
  4. Step 4: Simplify right side
    410.50x = 371,795.06
  5. Step 5: Solve for x
    x = 371,795.06/410.50
  6. Step 6: Final answer
    x = 905.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.