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Finding the Third Proportional to 366,938 and 554,103

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Solution

The third proportional to 366,938 and 554,103 is: 836,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,938 : 554,103 = 554,103 : x
  2. Step 2: Convert to fraction form
    366,938/554,103 = 554,103/x
  3. Step 3: Cross multiply
    366,938x = 554,103 × 554,103
  4. Step 4: Simplify right side
    366,938x = 307,030,134,609
  5. Step 5: Solve for x
    x = 307,030,134,609/366,938
  6. Step 6: Final answer
    x = 836,735.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.