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Finding the Third Proportional to 242,338 and 496,431

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Solution

The third proportional to 242,338 and 496,431 is: 1,016,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,338 : 496,431 = 496,431 : x
  2. Step 2: Convert to fraction form
    242,338/496,431 = 496,431/x
  3. Step 3: Cross multiply
    242,338x = 496,431 × 496,431
  4. Step 4: Simplify right side
    242,338x = 246,443,737,761
  5. Step 5: Solve for x
    x = 246,443,737,761/242,338
  6. Step 6: Final answer
    x = 1,016,942.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.