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Finding the Third Proportional to 262,876 and 574,400

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Solution

The third proportional to 262,876 and 574,400 is: 1,255,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,876 : 574,400 = 574,400 : x
  2. Step 2: Convert to fraction form
    262,876/574,400 = 574,400/x
  3. Step 3: Cross multiply
    262,876x = 574,400 × 574,400
  4. Step 4: Simplify right side
    262,876x = 329,935,360,000
  5. Step 5: Solve for x
    x = 329,935,360,000/262,876
  6. Step 6: Final answer
    x = 1,255,098.83

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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.