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Finding the Third Proportional to 437,766 and 629,001

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Solution

The third proportional to 437,766 and 629,001 is: 903,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,766 : 629,001 = 629,001 : x
  2. Step 2: Convert to fraction form
    437,766/629,001 = 629,001/x
  3. Step 3: Cross multiply
    437,766x = 629,001 × 629,001
  4. Step 4: Simplify right side
    437,766x = 395,642,258,001
  5. Step 5: Solve for x
    x = 395,642,258,001/437,766
  6. Step 6: Final answer
    x = 903,775.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.