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Finding the Third Proportional to 420,294 and 628,956

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Solution

The third proportional to 420,294 and 628,956 is: 941,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294 : 628,956 = 628,956 : x
  2. Step 2: Convert to fraction form
    420,294/628,956 = 628,956/x
  3. Step 3: Cross multiply
    420,294x = 628,956 × 628,956
  4. Step 4: Simplify right side
    420,294x = 395,585,649,936
  5. Step 5: Solve for x
    x = 395,585,649,936/420,294
  6. Step 6: Final answer
    x = 941,211.75

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Why These Related Problems?

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