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Finding the Third Proportional to 418,102 and 628,095

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Solution

The third proportional to 418,102 and 628,095 is: 943,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,102 : 628,095 = 628,095 : x
  2. Step 2: Convert to fraction form
    418,102/628,095 = 628,095/x
  3. Step 3: Cross multiply
    418,102x = 628,095 × 628,095
  4. Step 4: Simplify right side
    418,102x = 394,503,329,025
  5. Step 5: Solve for x
    x = 394,503,329,025/418,102
  6. Step 6: Final answer
    x = 943,557.62

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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.