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Finding the Third Proportional to 311,536.13 and 677,746.13

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Solution

The third proportional to 311,536.13 and 677,746.13 is: 1,474,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,536.13 : 677,746.13 = 677,746.13 : x
  2. Step 2: Convert to fraction form
    311,536.13/677,746.13 = 677,746.13/x
  3. Step 3: Cross multiply
    311,536.13x = 677,746.13 × 677,746.13
  4. Step 4: Simplify right side
    311,536.13x = 459,339,809,952.52
  5. Step 5: Solve for x
    x = 459,339,809,952.52/311,536.13
  6. Step 6: Final answer
    x = 1,474,435.14

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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.