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Finding the Third Proportional to 345,210 and 466,401

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Solution

The third proportional to 345,210 and 466,401 is: 630,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,210 : 466,401 = 466,401 : x
  2. Step 2: Convert to fraction form
    345,210/466,401 = 466,401/x
  3. Step 3: Cross multiply
    345,210x = 466,401 × 466,401
  4. Step 4: Simplify right side
    345,210x = 217,529,892,801
  5. Step 5: Solve for x
    x = 217,529,892,801/345,210
  6. Step 6: Final answer
    x = 630,137.87

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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.