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Finding the Third Proportional to 311,567.63 and 677,809.13

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Solution

The third proportional to 311,567.63 and 677,809.13 is: 1,474,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,567.63 : 677,809.13 = 677,809.13 : x
  2. Step 2: Convert to fraction form
    311,567.63/677,809.13 = 677,809.13/x
  3. Step 3: Cross multiply
    311,567.63x = 677,809.13 × 677,809.13
  4. Step 4: Simplify right side
    311,567.63x = 459,425,209,933.27
  5. Step 5: Solve for x
    x = 459,425,209,933.27/311,567.63
  6. Step 6: Final answer
    x = 1,474,560.17

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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.