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Finding the Third Proportional to 381,258 and 825,277

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Solution

The third proportional to 381,258 and 825,277 is: 1,786,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,258 : 825,277 = 825,277 : x
  2. Step 2: Convert to fraction form
    381,258/825,277 = 825,277/x
  3. Step 3: Cross multiply
    381,258x = 825,277 × 825,277
  4. Step 4: Simplify right side
    381,258x = 681,082,126,729
  5. Step 5: Solve for x
    x = 681,082,126,729/381,258
  6. Step 6: Final answer
    x = 1,786,407.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.