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Finding the Third Proportional to 659,553.75 and 985,449

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Solution

The third proportional to 659,553.75 and 985,449 is: 1,472,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,553.75 : 985,449 = 985,449 : x
  2. Step 2: Convert to fraction form
    659,553.75/985,449 = 985,449/x
  3. Step 3: Cross multiply
    659,553.75x = 985,449 × 985,449
  4. Step 4: Simplify right side
    659,553.75x = 971,109,731,601
  5. Step 5: Solve for x
    x = 971,109,731,601/659,553.75
  6. Step 6: Final answer
    x = 1,472,373.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.