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Finding the Third Proportional to 303,112 and 660,496

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Solution

The third proportional to 303,112 and 660,496 is: 1,439,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,112 : 660,496 = 660,496 : x
  2. Step 2: Convert to fraction form
    303,112/660,496 = 660,496/x
  3. Step 3: Cross multiply
    303,112x = 660,496 × 660,496
  4. Step 4: Simplify right side
    303,112x = 436,254,966,016
  5. Step 5: Solve for x
    x = 436,254,966,016/303,112
  6. Step 6: Final answer
    x = 1,439,253.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.