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Finding the Third Proportional to 287,956.50 and 628,401

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Solution

The third proportional to 287,956.50 and 628,401 is: 1,371,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,956.50 : 628,401 = 628,401 : x
  2. Step 2: Convert to fraction form
    287,956.50/628,401 = 628,401/x
  3. Step 3: Cross multiply
    287,956.50x = 628,401 × 628,401
  4. Step 4: Simplify right side
    287,956.50x = 394,887,816,801
  5. Step 5: Solve for x
    x = 394,887,816,801/287,956.50
  6. Step 6: Final answer
    x = 1,371,345.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.