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Finding the Third Proportional to 399,322 and 603,138

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Solution

The third proportional to 399,322 and 603,138 is: 910,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,322 : 603,138 = 603,138 : x
  2. Step 2: Convert to fraction form
    399,322/603,138 = 603,138/x
  3. Step 3: Cross multiply
    399,322x = 603,138 × 603,138
  4. Step 4: Simplify right side
    399,322x = 363,775,447,044
  5. Step 5: Solve for x
    x = 363,775,447,044/399,322
  6. Step 6: Final answer
    x = 910,982.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.