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Finding the Third Proportional to 362,244 and 786,757

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Solution

The third proportional to 362,244 and 786,757 is: 1,708,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,244 : 786,757 = 786,757 : x
  2. Step 2: Convert to fraction form
    362,244/786,757 = 786,757/x
  3. Step 3: Cross multiply
    362,244x = 786,757 × 786,757
  4. Step 4: Simplify right side
    362,244x = 618,986,577,049
  5. Step 5: Solve for x
    x = 618,986,577,049/362,244
  6. Step 6: Final answer
    x = 1,708,755.91

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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.