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Finding the Third Proportional to 257,682 and 385,329

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Solution

The third proportional to 257,682 and 385,329 is: 576,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,682 : 385,329 = 385,329 : x
  2. Step 2: Convert to fraction form
    257,682/385,329 = 385,329/x
  3. Step 3: Cross multiply
    257,682x = 385,329 × 385,329
  4. Step 4: Simplify right side
    257,682x = 148,478,438,241
  5. Step 5: Solve for x
    x = 148,478,438,241/257,682
  6. Step 6: Final answer
    x = 576,208.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.