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Finding the Third Proportional to 305,094 and 472,401

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Solution

The third proportional to 305,094 and 472,401 is: 731,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,094 : 472,401 = 472,401 : x
  2. Step 2: Convert to fraction form
    305,094/472,401 = 472,401/x
  3. Step 3: Cross multiply
    305,094x = 472,401 × 472,401
  4. Step 4: Simplify right side
    305,094x = 223,162,704,801
  5. Step 5: Solve for x
    x = 223,162,704,801/305,094
  6. Step 6: Final answer
    x = 731,455.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.