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Finding the Third Proportional to 252,204 and 553,548

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Solution

The third proportional to 252,204 and 553,548 is: 1,214,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,204 : 553,548 = 553,548 : x
  2. Step 2: Convert to fraction form
    252,204/553,548 = 553,548/x
  3. Step 3: Cross multiply
    252,204x = 553,548 × 553,548
  4. Step 4: Simplify right side
    252,204x = 306,415,388,304
  5. Step 5: Solve for x
    x = 306,415,388,304/252,204
  6. Step 6: Final answer
    x = 1,214,950.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.