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Finding the Third Proportional to 331,477.87 and 723,677.02

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Solution

The third proportional to 331,477.87 and 723,677.02 is: 1,579,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,477.87 : 723,677.02 = 723,677.02 : x
  2. Step 2: Convert to fraction form
    331,477.87/723,677.02 = 723,677.02/x
  3. Step 3: Cross multiply
    331,477.87x = 723,677.02 × 723,677.02
  4. Step 4: Simplify right side
    331,477.87x = 523,708,427,184.19
  5. Step 5: Solve for x
    x = 523,708,427,184.19/331,477.87
  6. Step 6: Final answer
    x = 1,579,919.75

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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.