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Finding the Third Proportional to 250,996 and 536,920

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Solution

The third proportional to 250,996 and 536,920 is: 1,148,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,996 : 536,920 = 536,920 : x
  2. Step 2: Convert to fraction form
    250,996/536,920 = 536,920/x
  3. Step 3: Cross multiply
    250,996x = 536,920 × 536,920
  4. Step 4: Simplify right side
    250,996x = 288,283,086,400
  5. Step 5: Solve for x
    x = 288,283,086,400/250,996
  6. Step 6: Final answer
    x = 1,148,556.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.