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Finding the Third Proportional to 633,168 and 948,651.75

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Solution

The third proportional to 633,168 and 948,651.75 is: 1,421,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,168 : 948,651.75 = 948,651.75 : x
  2. Step 2: Convert to fraction form
    633,168/948,651.75 = 948,651.75/x
  3. Step 3: Cross multiply
    633,168x = 948,651.75 × 948,651.75
  4. Step 4: Simplify right side
    633,168x = 899,940,142,778.06
  5. Step 5: Solve for x
    x = 899,940,142,778.06/633,168
  6. Step 6: Final answer
    x = 1,421,329.16

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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.