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Finding the Third Proportional to 362,244 and 786,725

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Solution

The third proportional to 362,244 and 786,725 is: 1,708,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,244 : 786,725 = 786,725 : x
  2. Step 2: Convert to fraction form
    362,244/786,725 = 786,725/x
  3. Step 3: Cross multiply
    362,244x = 786,725 × 786,725
  4. Step 4: Simplify right side
    362,244x = 618,936,225,625
  5. Step 5: Solve for x
    x = 618,936,225,625/362,244
  6. Step 6: Final answer
    x = 1,708,616.91

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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.