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Finding the Third Proportional to 427,473 and 667,093.50

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Solution

The third proportional to 427,473 and 667,093.50 is: 1,041,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,473 : 667,093.50 = 667,093.50 : x
  2. Step 2: Convert to fraction form
    427,473/667,093.50 = 667,093.50/x
  3. Step 3: Cross multiply
    427,473x = 667,093.50 × 667,093.50
  4. Step 4: Simplify right side
    427,473x = 445,013,737,742.25
  5. Step 5: Solve for x
    x = 445,013,737,742.25/427,473
  6. Step 6: Final answer
    x = 1,041,033.56

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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.