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Finding the Third Proportional to 252,214 and 553,568

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Solution

The third proportional to 252,214 and 553,568 is: 1,214,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,214 : 553,568 = 553,568 : x
  2. Step 2: Convert to fraction form
    252,214/553,568 = 553,568/x
  3. Step 3: Cross multiply
    252,214x = 553,568 × 553,568
  4. Step 4: Simplify right side
    252,214x = 306,437,530,624
  5. Step 5: Solve for x
    x = 306,437,530,624/252,214
  6. Step 6: Final answer
    x = 1,214,990.17

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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.