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Finding the Third Proportional to 623.64 and 948.27

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Solution

The third proportional to 623.64 and 948.27 is: 1,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 948.27 = 948.27 : x
  2. Step 2: Convert to fraction form
    623.64/948.27 = 948.27/x
  3. Step 3: Cross multiply
    623.64x = 948.27 × 948.27
  4. Step 4: Simplify right side
    623.64x = 899,215.10
  5. Step 5: Solve for x
    x = 899,215.10/623.64
  6. Step 6: Final answer
    x = 1,441.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.