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Finding the Third Proportional to 408.50 and 652.25

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Solution

The third proportional to 408.50 and 652.25 is: 1,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.50 : 652.25 = 652.25 : x
  2. Step 2: Convert to fraction form
    408.50/652.25 = 652.25/x
  3. Step 3: Cross multiply
    408.50x = 652.25 × 652.25
  4. Step 4: Simplify right side
    408.50x = 425,430.06
  5. Step 5: Solve for x
    x = 425,430.06/408.50
  6. Step 6: Final answer
    x = 1,041.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.