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Finding the Third Proportional to 252,518 and 557,524

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Solution

The third proportional to 252,518 and 557,524 is: 1,230,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,518 : 557,524 = 557,524 : x
  2. Step 2: Convert to fraction form
    252,518/557,524 = 557,524/x
  3. Step 3: Cross multiply
    252,518x = 557,524 × 557,524
  4. Step 4: Simplify right side
    252,518x = 310,833,010,576
  5. Step 5: Solve for x
    x = 310,833,010,576/252,518
  6. Step 6: Final answer
    x = 1,230,934.07

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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.