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Finding the Third Proportional to 303,710 and 664,617

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Solution

The third proportional to 303,710 and 664,617 is: 1,454,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,710 : 664,617 = 664,617 : x
  2. Step 2: Convert to fraction form
    303,710/664,617 = 664,617/x
  3. Step 3: Cross multiply
    303,710x = 664,617 × 664,617
  4. Step 4: Simplify right side
    303,710x = 441,715,756,689
  5. Step 5: Solve for x
    x = 441,715,756,689/303,710
  6. Step 6: Final answer
    x = 1,454,399.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.