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Finding the Third Proportional to 638.30 and 976.01

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Solution

The third proportional to 638.30 and 976.01 is: 1,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.30 : 976.01 = 976.01 : x
  2. Step 2: Convert to fraction form
    638.30/976.01 = 976.01/x
  3. Step 3: Cross multiply
    638.30x = 976.01 × 976.01
  4. Step 4: Simplify right side
    638.30x = 952,591.25
  5. Step 5: Solve for x
    x = 952,591.25/638.30
  6. Step 6: Final answer
    x = 1,492.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.