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Finding the Third Proportional to 233,814 and 376,542

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Solution

The third proportional to 233,814 and 376,542 is: 606,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,814 : 376,542 = 376,542 : x
  2. Step 2: Convert to fraction form
    233,814/376,542 = 376,542/x
  3. Step 3: Cross multiply
    233,814x = 376,542 × 376,542
  4. Step 4: Simplify right side
    233,814x = 141,783,877,764
  5. Step 5: Solve for x
    x = 141,783,877,764/233,814
  6. Step 6: Final answer
    x = 606,396.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.