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Finding the Third Proportional to 355,115.25 and 478,452.38

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Solution

The third proportional to 355,115.25 and 478,452.38 is: 644,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,115.25 : 478,452.38 = 478,452.38 : x
  2. Step 2: Convert to fraction form
    355,115.25/478,452.38 = 478,452.38/x
  3. Step 3: Cross multiply
    355,115.25x = 478,452.38 × 478,452.38
  4. Step 4: Simplify right side
    355,115.25x = 228,916,675,143.14
  5. Step 5: Solve for x
    x = 228,916,675,143.14/355,115.25
  6. Step 6: Final answer
    x = 644,626.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.