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Finding the Third Proportional to 244,800 and 537,696

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Solution

The third proportional to 244,800 and 537,696 is: 1,181,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,800 : 537,696 = 537,696 : x
  2. Step 2: Convert to fraction form
    244,800/537,696 = 537,696/x
  3. Step 3: Cross multiply
    244,800x = 537,696 × 537,696
  4. Step 4: Simplify right side
    244,800x = 289,116,988,416
  5. Step 5: Solve for x
    x = 289,116,988,416/244,800
  6. Step 6: Final answer
    x = 1,181,033.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.