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Finding the Third Proportional to 242,336 and 496,427

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Solution

The third proportional to 242,336 and 496,427 is: 1,016,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,336 : 496,427 = 496,427 : x
  2. Step 2: Convert to fraction form
    242,336/496,427 = 496,427/x
  3. Step 3: Cross multiply
    242,336x = 496,427 × 496,427
  4. Step 4: Simplify right side
    242,336x = 246,439,766,329
  5. Step 5: Solve for x
    x = 246,439,766,329/242,336
  6. Step 6: Final answer
    x = 1,016,934.20

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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.