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Finding the Third Proportional to 362,201.63 and 786,678.75

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Solution

The third proportional to 362,201.63 and 786,678.75 is: 1,708,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,201.63 : 786,678.75 = 786,678.75 : x
  2. Step 2: Convert to fraction form
    362,201.63/786,678.75 = 786,678.75/x
  3. Step 3: Cross multiply
    362,201.63x = 786,678.75 × 786,678.75
  4. Step 4: Simplify right side
    362,201.63x = 618,863,455,701.56
  5. Step 5: Solve for x
    x = 618,863,455,701.56/362,201.63
  6. Step 6: Final answer
    x = 1,708,615.90

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