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Finding the Third Proportional to 303,938 and 659,392

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Solution

The third proportional to 303,938 and 659,392 is: 1,430,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,938 : 659,392 = 659,392 : x
  2. Step 2: Convert to fraction form
    303,938/659,392 = 659,392/x
  3. Step 3: Cross multiply
    303,938x = 659,392 × 659,392
  4. Step 4: Simplify right side
    303,938x = 434,797,809,664
  5. Step 5: Solve for x
    x = 434,797,809,664/303,938
  6. Step 6: Final answer
    x = 1,430,547.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.