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Finding the Third Proportional to 601,729.50 and 1,311,378

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Solution

The third proportional to 601,729.50 and 1,311,378 is: 2,857,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,729.50 : 1,311,378 = 1,311,378 : x
  2. Step 2: Convert to fraction form
    601,729.50/1,311,378 = 1,311,378/x
  3. Step 3: Cross multiply
    601,729.50x = 1,311,378 × 1,311,378
  4. Step 4: Simplify right side
    601,729.50x = 1,719,712,258,884
  5. Step 5: Solve for x
    x = 1,719,712,258,884/601,729.50
  6. Step 6: Final answer
    x = 2,857,949.06

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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.