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Finding the Third Proportional to 427,483.50 and 667,105

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Solution

The third proportional to 427,483.50 and 667,105 is: 1,041,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,483.50 : 667,105 = 667,105 : x
  2. Step 2: Convert to fraction form
    427,483.50/667,105 = 667,105/x
  3. Step 3: Cross multiply
    427,483.50x = 667,105 × 667,105
  4. Step 4: Simplify right side
    427,483.50x = 445,029,081,025
  5. Step 5: Solve for x
    x = 445,029,081,025/427,483.50
  6. Step 6: Final answer
    x = 1,041,043.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.