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Finding the Third Proportional to 633,163.50 and 948,645

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Solution

The third proportional to 633,163.50 and 948,645 is: 1,421,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,163.50 : 948,645 = 948,645 : x
  2. Step 2: Convert to fraction form
    633,163.50/948,645 = 948,645/x
  3. Step 3: Cross multiply
    633,163.50x = 948,645 × 948,645
  4. Step 4: Simplify right side
    633,163.50x = 899,927,336,025
  5. Step 5: Solve for x
    x = 899,927,336,025/633,163.50
  6. Step 6: Final answer
    x = 1,421,319.04

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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.