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Finding the Third Proportional to 222,045 and 523,820

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Solution

The third proportional to 222,045 and 523,820 is: 1,235,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,045 : 523,820 = 523,820 : x
  2. Step 2: Convert to fraction form
    222,045/523,820 = 523,820/x
  3. Step 3: Cross multiply
    222,045x = 523,820 × 523,820
  4. Step 4: Simplify right side
    222,045x = 274,387,392,400
  5. Step 5: Solve for x
    x = 274,387,392,400/222,045
  6. Step 6: Final answer
    x = 1,235,728.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.