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Finding the Third Proportional to 375,958.97 and 617,178.23

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Solution

The third proportional to 375,958.97 and 617,178.23 is: 1,013,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,958.97 : 617,178.23 = 617,178.23 : x
  2. Step 2: Convert to fraction form
    375,958.97/617,178.23 = 617,178.23/x
  3. Step 3: Cross multiply
    375,958.97x = 617,178.23 × 617,178.23
  4. Step 4: Simplify right side
    375,958.97x = 380,908,972,986.24
  5. Step 5: Solve for x
    x = 380,908,972,986.24/375,958.97
  6. Step 6: Final answer
    x = 1,013,166.34

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.