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Finding the Third Proportional to 544,234 and 818,427

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Solution

The third proportional to 544,234 and 818,427 is: 1,230,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,234 : 818,427 = 818,427 : x
  2. Step 2: Convert to fraction form
    544,234/818,427 = 818,427/x
  3. Step 3: Cross multiply
    544,234x = 818,427 × 818,427
  4. Step 4: Simplify right side
    544,234x = 669,822,754,329
  5. Step 5: Solve for x
    x = 669,822,754,329/544,234
  6. Step 6: Final answer
    x = 1,230,762.42

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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.