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Finding the Third Proportional to 251,597 and 376,401

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Solution

The third proportional to 251,597 and 376,401 is: 563,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,597 : 376,401 = 376,401 : x
  2. Step 2: Convert to fraction form
    251,597/376,401 = 376,401/x
  3. Step 3: Cross multiply
    251,597x = 376,401 × 376,401
  4. Step 4: Simplify right side
    251,597x = 141,677,712,801
  5. Step 5: Solve for x
    x = 141,677,712,801/251,597
  6. Step 6: Final answer
    x = 563,113.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.