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Finding the Third Proportional to 242,532 and 523,782

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Solution

The third proportional to 242,532 and 523,782 is: 1,131,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,532 : 523,782 = 523,782 : x
  2. Step 2: Convert to fraction form
    242,532/523,782 = 523,782/x
  3. Step 3: Cross multiply
    242,532x = 523,782 × 523,782
  4. Step 4: Simplify right side
    242,532x = 274,347,583,524
  5. Step 5: Solve for x
    x = 274,347,583,524/242,532
  6. Step 6: Final answer
    x = 1,131,180.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.