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Finding the Third Proportional to 222,045 and 523,818.75

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Solution

The third proportional to 222,045 and 523,818.75 is: 1,235,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,045 : 523,818.75 = 523,818.75 : x
  2. Step 2: Convert to fraction form
    222,045/523,818.75 = 523,818.75/x
  3. Step 3: Cross multiply
    222,045x = 523,818.75 × 523,818.75
  4. Step 4: Simplify right side
    222,045x = 274,386,082,851.56
  5. Step 5: Solve for x
    x = 274,386,082,851.56/222,045
  6. Step 6: Final answer
    x = 1,235,722.86

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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.