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Finding the Third Proportional to 276,264 and 572,184

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Solution

The third proportional to 276,264 and 572,184 is: 1,185,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,264 : 572,184 = 572,184 : x
  2. Step 2: Convert to fraction form
    276,264/572,184 = 572,184/x
  3. Step 3: Cross multiply
    276,264x = 572,184 × 572,184
  4. Step 4: Simplify right side
    276,264x = 327,394,529,856
  5. Step 5: Solve for x
    x = 327,394,529,856/276,264
  6. Step 6: Final answer
    x = 1,185,078.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.