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Finding the Third Proportional to 264,330 and 376,812

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Solution

The third proportional to 264,330 and 376,812 is: 537,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,330 : 376,812 = 376,812 : x
  2. Step 2: Convert to fraction form
    264,330/376,812 = 376,812/x
  3. Step 3: Cross multiply
    264,330x = 376,812 × 376,812
  4. Step 4: Simplify right side
    264,330x = 141,987,283,344
  5. Step 5: Solve for x
    x = 141,987,283,344/264,330
  6. Step 6: Final answer
    x = 537,159.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.