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Finding the Third Proportional to 421,944 and 633,000

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Solution

The third proportional to 421,944 and 633,000 is: 949,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,944 : 633,000 = 633,000 : x
  2. Step 2: Convert to fraction form
    421,944/633,000 = 633,000/x
  3. Step 3: Cross multiply
    421,944x = 633,000 × 633,000
  4. Step 4: Simplify right side
    421,944x = 400,689,000,000
  5. Step 5: Solve for x
    x = 400,689,000,000/421,944
  6. Step 6: Final answer
    x = 949,626.02

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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.