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Finding the Third Proportional to 275,472 and 418,704

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Solution

The third proportional to 275,472 and 418,704 is: 636,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,472 : 418,704 = 418,704 : x
  2. Step 2: Convert to fraction form
    275,472/418,704 = 418,704/x
  3. Step 3: Cross multiply
    275,472x = 418,704 × 418,704
  4. Step 4: Simplify right side
    275,472x = 175,313,039,616
  5. Step 5: Solve for x
    x = 175,313,039,616/275,472
  6. Step 6: Final answer
    x = 636,409.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.