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Finding the Third Proportional to 423,559.97 and 908,538.19

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Solution

The third proportional to 423,559.97 and 908,538.19 is: 1,948,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,559.97 : 908,538.19 = 908,538.19 : x
  2. Step 2: Convert to fraction form
    423,559.97/908,538.19 = 908,538.19/x
  3. Step 3: Cross multiply
    423,559.97x = 908,538.19 × 908,538.19
  4. Step 4: Simplify right side
    423,559.97x = 825,441,638,145.79
  5. Step 5: Solve for x
    x = 825,441,638,145.79/423,559.97
  6. Step 6: Final answer
    x = 1,948,818.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.