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Finding the Third Proportional to 403.38 and 603.50

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Solution

The third proportional to 403.38 and 603.50 is: 902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.38 : 603.50 = 603.50 : x
  2. Step 2: Convert to fraction form
    403.38/603.50 = 603.50/x
  3. Step 3: Cross multiply
    403.38x = 603.50 × 603.50
  4. Step 4: Simplify right side
    403.38x = 364,212.25
  5. Step 5: Solve for x
    x = 364,212.25/403.38
  6. Step 6: Final answer
    x = 902.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.