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Finding the Third Proportional to 403.63 and 603.88

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Solution

The third proportional to 403.63 and 603.88 is: 903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 603.88 = 603.88 : x
  2. Step 2: Convert to fraction form
    403.63/603.88 = 603.88/x
  3. Step 3: Cross multiply
    403.63x = 603.88 × 603.88
  4. Step 4: Simplify right side
    403.63x = 364,665.02
  5. Step 5: Solve for x
    x = 364,665.02/403.63
  6. Step 6: Final answer
    x = 903.47

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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.