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Finding the Third Proportional to 362,185 and 786,654

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Solution

The third proportional to 362,185 and 786,654 is: 1,708,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,185 : 786,654 = 786,654 : x
  2. Step 2: Convert to fraction form
    362,185/786,654 = 786,654/x
  3. Step 3: Cross multiply
    362,185x = 786,654 × 786,654
  4. Step 4: Simplify right side
    362,185x = 618,824,515,716
  5. Step 5: Solve for x
    x = 618,824,515,716/362,185
  6. Step 6: Final answer
    x = 1,708,586.82

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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.