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Finding the Third Proportional to 242,361 and 496,791

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Solution

The third proportional to 242,361 and 496,791 is: 1,018,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,361 : 496,791 = 496,791 : x
  2. Step 2: Convert to fraction form
    242,361/496,791 = 496,791/x
  3. Step 3: Cross multiply
    242,361x = 496,791 × 496,791
  4. Step 4: Simplify right side
    242,361x = 246,801,297,681
  5. Step 5: Solve for x
    x = 246,801,297,681/242,361
  6. Step 6: Final answer
    x = 1,018,321.01

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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.