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Finding the Third Proportional to 244,663 and 496,240

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Solution

The third proportional to 244,663 and 496,240 is: 1,006,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,663 : 496,240 = 496,240 : x
  2. Step 2: Convert to fraction form
    244,663/496,240 = 496,240/x
  3. Step 3: Cross multiply
    244,663x = 496,240 × 496,240
  4. Step 4: Simplify right side
    244,663x = 246,254,137,600
  5. Step 5: Solve for x
    x = 246,254,137,600/244,663
  6. Step 6: Final answer
    x = 1,006,503.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.