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Finding the Third Proportional to 244,230 and 533,244

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Solution

The third proportional to 244,230 and 533,244 is: 1,164,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,230 : 533,244 = 533,244 : x
  2. Step 2: Convert to fraction form
    244,230/533,244 = 533,244/x
  3. Step 3: Cross multiply
    244,230x = 533,244 × 533,244
  4. Step 4: Simplify right side
    244,230x = 284,349,163,536
  5. Step 5: Solve for x
    x = 284,349,163,536/244,230
  6. Step 6: Final answer
    x = 1,164,267.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.