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Finding the Third Proportional to 309,450 and 659,364

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Solution

The third proportional to 309,450 and 659,364 is: 1,404,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,450 : 659,364 = 659,364 : x
  2. Step 2: Convert to fraction form
    309,450/659,364 = 659,364/x
  3. Step 3: Cross multiply
    309,450x = 659,364 × 659,364
  4. Step 4: Simplify right side
    309,450x = 434,760,884,496
  5. Step 5: Solve for x
    x = 434,760,884,496/309,450
  6. Step 6: Final answer
    x = 1,404,947.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.