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Finding the Third Proportional to 304,338 and 468,379

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Solution

The third proportional to 304,338 and 468,379 is: 720,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,338 : 468,379 = 468,379 : x
  2. Step 2: Convert to fraction form
    304,338/468,379 = 468,379/x
  3. Step 3: Cross multiply
    304,338x = 468,379 × 468,379
  4. Step 4: Simplify right side
    304,338x = 219,378,887,641
  5. Step 5: Solve for x
    x = 219,378,887,641/304,338
  6. Step 6: Final answer
    x = 720,839.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.