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Finding the Third Proportional to 262,635 and 382,467

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Solution

The third proportional to 262,635 and 382,467 is: 556,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,635 : 382,467 = 382,467 : x
  2. Step 2: Convert to fraction form
    262,635/382,467 = 382,467/x
  3. Step 3: Cross multiply
    262,635x = 382,467 × 382,467
  4. Step 4: Simplify right side
    262,635x = 146,281,006,089
  5. Step 5: Solve for x
    x = 146,281,006,089/262,635
  6. Step 6: Final answer
    x = 556,974.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.