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Finding the Third Proportional to 222,043.15 and 523,814.98

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Solution

The third proportional to 222,043.15 and 523,814.98 is: 1,235,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,043.15 : 523,814.98 = 523,814.98 : x
  2. Step 2: Convert to fraction form
    222,043.15/523,814.98 = 523,814.98/x
  3. Step 3: Cross multiply
    222,043.15x = 523,814.98 × 523,814.98
  4. Step 4: Simplify right side
    222,043.15x = 274,382,129,671.17
  5. Step 5: Solve for x
    x = 274,382,129,671.17/222,043.15
  6. Step 6: Final answer
    x = 1,235,715.36

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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.