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Finding the Third Proportional to 423.88 and 633.63

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Solution

The third proportional to 423.88 and 633.63 is: 947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 633.63 = 633.63 : x
  2. Step 2: Convert to fraction form
    423.88/633.63 = 633.63/x
  3. Step 3: Cross multiply
    423.88x = 633.63 × 633.63
  4. Step 4: Simplify right side
    423.88x = 401,480.64
  5. Step 5: Solve for x
    x = 401,480.64/423.88
  6. Step 6: Final answer
    x = 947.17

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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.