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Finding the Third Proportional to 331,610.63 and 710,538.75

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Solution

The third proportional to 331,610.63 and 710,538.75 is: 1,522,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,610.63 : 710,538.75 = 710,538.75 : x
  2. Step 2: Convert to fraction form
    331,610.63/710,538.75 = 710,538.75/x
  3. Step 3: Cross multiply
    331,610.63x = 710,538.75 × 710,538.75
  4. Step 4: Simplify right side
    331,610.63x = 504,865,315,251.56
  5. Step 5: Solve for x
    x = 504,865,315,251.56/331,610.63
  6. Step 6: Final answer
    x = 1,522,464.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.