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Finding the Third Proportional to 331,394.63 and 727,305.75

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Solution

The third proportional to 331,394.63 and 727,305.75 is: 1,596,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,394.63 : 727,305.75 = 727,305.75 : x
  2. Step 2: Convert to fraction form
    331,394.63/727,305.75 = 727,305.75/x
  3. Step 3: Cross multiply
    331,394.63x = 727,305.75 × 727,305.75
  4. Step 4: Simplify right side
    331,394.63x = 528,973,653,983.06
  5. Step 5: Solve for x
    x = 528,973,653,983.06/331,394.63
  6. Step 6: Final answer
    x = 1,596,204.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.