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Finding the Third Proportional to 420,401 and 634,976

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Solution

The third proportional to 420,401 and 634,976 is: 959,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,401 : 634,976 = 634,976 : x
  2. Step 2: Convert to fraction form
    420,401/634,976 = 634,976/x
  3. Step 3: Cross multiply
    420,401x = 634,976 × 634,976
  4. Step 4: Simplify right side
    420,401x = 403,194,520,576
  5. Step 5: Solve for x
    x = 403,194,520,576/420,401
  6. Step 6: Final answer
    x = 959,071.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.