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Finding the Third Proportional to 252,081 and 553,851

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Solution

The third proportional to 252,081 and 553,851 is: 1,216,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,081 : 553,851 = 553,851 : x
  2. Step 2: Convert to fraction form
    252,081/553,851 = 553,851/x
  3. Step 3: Cross multiply
    252,081x = 553,851 × 553,851
  4. Step 4: Simplify right side
    252,081x = 306,750,930,201
  5. Step 5: Solve for x
    x = 306,750,930,201/252,081
  6. Step 6: Final answer
    x = 1,216,874.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.