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Finding the Third Proportional to 242,334 and 496,423

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Solution

The third proportional to 242,334 and 496,423 is: 1,016,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,334 : 496,423 = 496,423 : x
  2. Step 2: Convert to fraction form
    242,334/496,423 = 496,423/x
  3. Step 3: Cross multiply
    242,334x = 496,423 × 496,423
  4. Step 4: Simplify right side
    242,334x = 246,435,794,929
  5. Step 5: Solve for x
    x = 246,435,794,929/242,334
  6. Step 6: Final answer
    x = 1,016,926.20

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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.