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Finding the Third Proportional to 244,520 and 365,367

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Solution

The third proportional to 244,520 and 365,367 is: 545,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,520 : 365,367 = 365,367 : x
  2. Step 2: Convert to fraction form
    244,520/365,367 = 365,367/x
  3. Step 3: Cross multiply
    244,520x = 365,367 × 365,367
  4. Step 4: Simplify right side
    244,520x = 133,493,044,689
  5. Step 5: Solve for x
    x = 133,493,044,689/244,520
  6. Step 6: Final answer
    x = 545,939.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.