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Finding the Third Proportional to 418,334 and 628,454

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Solution

The third proportional to 418,334 and 628,454 is: 944,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,334 : 628,454 = 628,454 : x
  2. Step 2: Convert to fraction form
    418,334/628,454 = 628,454/x
  3. Step 3: Cross multiply
    418,334x = 628,454 × 628,454
  4. Step 4: Simplify right side
    418,334x = 394,954,430,116
  5. Step 5: Solve for x
    x = 394,954,430,116/418,334
  6. Step 6: Final answer
    x = 944,112.67

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