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Finding the Third Proportional to 252,426 and 538,530

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Solution

The third proportional to 252,426 and 538,530 is: 1,148,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,426 : 538,530 = 538,530 : x
  2. Step 2: Convert to fraction form
    252,426/538,530 = 538,530/x
  3. Step 3: Cross multiply
    252,426x = 538,530 × 538,530
  4. Step 4: Simplify right side
    252,426x = 290,014,560,900
  5. Step 5: Solve for x
    x = 290,014,560,900/252,426
  6. Step 6: Final answer
    x = 1,148,909.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.