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Finding the Third Proportional to 252,384 and 538,458

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Solution

The third proportional to 252,384 and 538,458 is: 1,148,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,384 : 538,458 = 538,458 : x
  2. Step 2: Convert to fraction form
    252,384/538,458 = 538,458/x
  3. Step 3: Cross multiply
    252,384x = 538,458 × 538,458
  4. Step 4: Simplify right side
    252,384x = 289,937,017,764
  5. Step 5: Solve for x
    x = 289,937,017,764/252,384
  6. Step 6: Final answer
    x = 1,148,793.18

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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.