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Finding the Third Proportional to 420,300 and 628,965

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Solution

The third proportional to 420,300 and 628,965 is: 941,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,300 : 628,965 = 628,965 : x
  2. Step 2: Convert to fraction form
    420,300/628,965 = 628,965/x
  3. Step 3: Cross multiply
    420,300x = 628,965 × 628,965
  4. Step 4: Simplify right side
    420,300x = 395,596,971,225
  5. Step 5: Solve for x
    x = 395,596,971,225/420,300
  6. Step 6: Final answer
    x = 941,225.25

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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.