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Finding the Third Proportional to 303,762 and 664,710

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Solution

The third proportional to 303,762 and 664,710 is: 1,454,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,762 : 664,710 = 664,710 : x
  2. Step 2: Convert to fraction form
    303,762/664,710 = 664,710/x
  3. Step 3: Cross multiply
    303,762x = 664,710 × 664,710
  4. Step 4: Simplify right side
    303,762x = 441,839,384,100
  5. Step 5: Solve for x
    x = 441,839,384,100/303,762
  6. Step 6: Final answer
    x = 1,454,557.79

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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.