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Finding the Third Proportional to 244,149 and 534,845

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Solution

The third proportional to 244,149 and 534,845 is: 1,171,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,149 : 534,845 = 534,845 : x
  2. Step 2: Convert to fraction form
    244,149/534,845 = 534,845/x
  3. Step 3: Cross multiply
    244,149x = 534,845 × 534,845
  4. Step 4: Simplify right side
    244,149x = 286,059,174,025
  5. Step 5: Solve for x
    x = 286,059,174,025/244,149
  6. Step 6: Final answer
    x = 1,171,658.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.