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Finding the Third Proportional to 257,924 and 365,286

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Solution

The third proportional to 257,924 and 365,286 is: 517,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,924 : 365,286 = 365,286 : x
  2. Step 2: Convert to fraction form
    257,924/365,286 = 365,286/x
  3. Step 3: Cross multiply
    257,924x = 365,286 × 365,286
  4. Step 4: Simplify right side
    257,924x = 133,433,861,796
  5. Step 5: Solve for x
    x = 133,433,861,796/257,924
  6. Step 6: Final answer
    x = 517,337.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.