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Finding the Third Proportional to 301,051 and 466,401

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Solution

The third proportional to 301,051 and 466,401 is: 722,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,051 : 466,401 = 466,401 : x
  2. Step 2: Convert to fraction form
    301,051/466,401 = 466,401/x
  3. Step 3: Cross multiply
    301,051x = 466,401 × 466,401
  4. Step 4: Simplify right side
    301,051x = 217,529,892,801
  5. Step 5: Solve for x
    x = 217,529,892,801/301,051
  6. Step 6: Final answer
    x = 722,568.25

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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.