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Finding the Third Proportional to 252,768 and 379,800

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Solution

The third proportional to 252,768 and 379,800 is: 570,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,768 : 379,800 = 379,800 : x
  2. Step 2: Convert to fraction form
    252,768/379,800 = 379,800/x
  3. Step 3: Cross multiply
    252,768x = 379,800 × 379,800
  4. Step 4: Simplify right side
    252,768x = 144,248,040,000
  5. Step 5: Solve for x
    x = 144,248,040,000/252,768
  6. Step 6: Final answer
    x = 570,673.66

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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.