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Finding the Third Proportional to 252,496 and 547,912

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Solution

The third proportional to 252,496 and 547,912 is: 1,188,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,496 : 547,912 = 547,912 : x
  2. Step 2: Convert to fraction form
    252,496/547,912 = 547,912/x
  3. Step 3: Cross multiply
    252,496x = 547,912 × 547,912
  4. Step 4: Simplify right side
    252,496x = 300,207,559,744
  5. Step 5: Solve for x
    x = 300,207,559,744/252,496
  6. Step 6: Final answer
    x = 1,188,959.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.