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Finding the Third Proportional to 252,450 and 379,323

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Solution

The third proportional to 252,450 and 379,323 is: 569,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,450 : 379,323 = 379,323 : x
  2. Step 2: Convert to fraction form
    252,450/379,323 = 379,323/x
  3. Step 3: Cross multiply
    252,450x = 379,323 × 379,323
  4. Step 4: Simplify right side
    252,450x = 143,885,938,329
  5. Step 5: Solve for x
    x = 143,885,938,329/252,450
  6. Step 6: Final answer
    x = 569,958.16

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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.