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Finding the Third Proportional to 368,567 and 495,601

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Solution

The third proportional to 368,567 and 495,601 is: 666,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,567 : 495,601 = 495,601 : x
  2. Step 2: Convert to fraction form
    368,567/495,601 = 495,601/x
  3. Step 3: Cross multiply
    368,567x = 495,601 × 495,601
  4. Step 4: Simplify right side
    368,567x = 245,620,351,201
  5. Step 5: Solve for x
    x = 245,620,351,201/368,567
  6. Step 6: Final answer
    x = 666,419.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.