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Finding the Third Proportional to 244,385.25 and 522,941.25

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Solution

The third proportional to 244,385.25 and 522,941.25 is: 1,119,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,385.25 : 522,941.25 = 522,941.25 : x
  2. Step 2: Convert to fraction form
    244,385.25/522,941.25 = 522,941.25/x
  3. Step 3: Cross multiply
    244,385.25x = 522,941.25 × 522,941.25
  4. Step 4: Simplify right side
    244,385.25x = 273,467,550,951.56
  5. Step 5: Solve for x
    x = 273,467,550,951.56/244,385.25
  6. Step 6: Final answer
    x = 1,119,001.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.