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Finding the Third Proportional to 428,775.75 and 846,708.75

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Solution

The third proportional to 428,775.75 and 846,708.75 is: 1,672,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,775.75 : 846,708.75 = 846,708.75 : x
  2. Step 2: Convert to fraction form
    428,775.75/846,708.75 = 846,708.75/x
  3. Step 3: Cross multiply
    428,775.75x = 846,708.75 × 846,708.75
  4. Step 4: Simplify right side
    428,775.75x = 716,915,707,326.56
  5. Step 5: Solve for x
    x = 716,915,707,326.56/428,775.75
  6. Step 6: Final answer
    x = 1,672,006.19

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.