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Finding the Third Proportional to 252,384 and 557,280

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Solution

The third proportional to 252,384 and 557,280 is: 1,230,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,384 : 557,280 = 557,280 : x
  2. Step 2: Convert to fraction form
    252,384/557,280 = 557,280/x
  3. Step 3: Cross multiply
    252,384x = 557,280 × 557,280
  4. Step 4: Simplify right side
    252,384x = 310,560,998,400
  5. Step 5: Solve for x
    x = 310,560,998,400/252,384
  6. Step 6: Final answer
    x = 1,230,509.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.